The under-fire Shots boss was delighted to see his side overcome the potential banana skin of Burnham on Saturday, and then cheered as the Shots were handed a rare home draw in round two, against the winners of the Bury and Scunthorpe United tie.
For Brown, this comes as a huge relief and welcome distraction following a difficult start to his league campaign.
Although the visit of Bury or Scunthorpe won't exactly send the football purists into delirium, it is a far more enticing to the red and blue army than the long trip to Hartlepool last year.
Not only that, it also gives the Shots a glimmer of hope in reaching the third round proper of the FA Cup for the first time in their history with the Premiership glamour sides lying in wait.
The boss said: “I'm delighted with the draw, in the early rounds you just want to get through, now, there's a reasonable chance of the match being on television and if that were to happen it would make my dreams come true.
“From a football point of view, both of these games are winnable. Bury slaughtered them apparently in the second half, but on our day, at the Rec, we are capable of beating any League team.”
“It's a massive boost for everyone at the club. It allows me another week or two to get settled until the FA Cup comes round again and give me time to desperately try and get the quality we need to supplement the squad.
“This club, quite rightly, has expectations to do better than we have this year. The two draws we've had have been winnable but massive banana skins for me. Winning them just gives me a bit more space.”
Amidst his concerns, light is beginning to appear at the end of the tunnel for Brown after a much-improved display against the cup minnows from Buckinghamshire.
At half time with the deadlock unbroken and top scorer Tim Sills ruled out of the action with a shoulder injury, things weren't looking too promising for the Shots, who were forced to re-shuffle without any striker cover.
But his men responded in the best possible way with a polished second half display, emulated by his new centre half pairing of fit-again John Brough and Greg Heald.
Not only did the duo nullify the threat of Burnham's pacy strike pair Yash Romeo and Anthony Alleyne, but they chipped in with a crucial goal apiece to lead the march to round two.
Speaking of the partnership, Brown said: “In August and September we were leaking goals like a sieve but I look at Broughy now and he's the guy I tried so hard to get. He's a real leader and is only just getting back to full fitness, which is great news for us.
“Broughy's brought the best out of Greg Heald today and I thought the two were fantastic. They're not going to be Rio Ferdinand's back there, but they're big, solid and can head a ball and that will do defensively.”
Brown had every reason to be concerned at the break given the obvious threat posed by the Southern League western division side and the inability of his side to tuck away the chances that came their way.
Sills looked in obvious pain as he trudged off with physio Sue Bowen at the break and now Brown fears the worst with the striker unlikely to be fit for Saturday's home clash with Gravesend & Northfleet.
Indeed, Sills came closest to breaking the deadlock in the opening half and actually had the ball in the back of the net on 38 minutes, only to be denied by referee Harris for alleged pushing.
Andre Boucaud saw his 25-yard effort brilliantly turned away by keeper Jamie Jackson, while Omari Coleman twice went close to striking the first blow, denied only by the heroics of ex-Aldershot defender Jon Horsted the goal-line.
Burnham though had their chances also and but for Shots keeper Nikki Bull, might have also gone into the break in front — Alleyne's glancing header from Daryl Jones' set-piece delivery somehow kept out at the near post.
Brown's only real option in replacing Sills was to introduce winger Ahmed Deen and play Gary Holloway in an uncustomary role up front.
But it seemed to do the trick in keeping the momentum flowing and within eight minutes of the re-start, the boss got his reward.
Darren Barnard rifled in a free-kick from a full 35-yards, keeper Jackson spilt it and Brough slid in to poke home the rebound to the delight of the Aldershot masses behind the goal.
This then opened the floodgates as Burnham seemed to tire and quite soon the Shots were in complete control.
Ryan Scott squandered a golden opportunity to make it 2-0 following great work down the left by the electric Nick Crittenden, while Horsted again prevented Holloway with a desperate block.
But on 71 minutes the pressure told when Crittenden swung in a cross from the left after a half-cleared corner and Heald made it two with a superb looping header from 15 yards out.
The hosts battled away and would have pulled one back five minutes later but for a fine save by Bull in keeping out Romeo's effort and Alleyne's moment of panic with the goal at his mercy.
In the end they were punished with five minutes left when the Shots wrapped it up with a fine cross-field move — Crittenden feeding Holloway on the edge of the box and he in turn unselfishly squaring for Deen to rifle home first time into the far corner.
Matty Miller managed a well-earned consolation goal for the hosts, deflecting home Rob Saunders' long shot past the flat-footed Bull, but the Shots had done more than enough to seal their place in round two with a performance in keeping with their professional status.
The boss concluded: “It wasn't a comfortable 3-1 victory. If they'd have got their goal early as we did, then it might have been a different outcome. I'm relieved to have got through and to have beaten a very good side in Burnham.
“I felt reasonably confident before the game but at half time with the score at 0-0 and my leading goal scorer out injured, I didn't feel confident at all.
“With a lack of a forward man, we spoke at half time about the goals having to come from set-pieces and fortunately they did come that way.”
Burnham boss Dave Mudge admitted: “For us to get anything out of the game, we needed that Nikki Bull save on 20 minutes to go in.
“The nerves kicked in after that a bit and to be fair to Aldershot, they deserved to win.”
With thanks to the Aldershot News.