Burr's side looked to have earned themselves a point despite being below their best when Ben Heneghan's header made the score 2-2 in the 79th minute.
But parity lasted just five minutes before Payne, who the manager knows through his work with England C, made a perfect connection with a long range volley for an outstanding goal.
Burr said: "Well that's just exactly what it was wasn't it?
"It's probably the best goal I've seen in a long, long time. He's a good player Josh is, and the strike was incredible."
Chester twice came from behind as the Cards struggled to put the game to bed despite having the better possession and chances.
Kieran Charnock, who started on the left side of a back three before changing to left-back, had a forgettable afternoon, which ended prematurely when he picked up a second booking for hauling down Kevin Betsy.
Heneghan's header, his third goal in four games, brought the 10 men level but the Surrey club were value for the three points, even though it needed a moment of inspiration to secure them.
"I thought it was really sloppy from Kieran," said Burr.
"It's a basic through ball that he's facing and he's sort of fallen over his legs, the lad's nipped in and then he's brought him down so no complaints at all.
"Ben give us a little bit of a chance but it was always going to be difficult.
"They are pushing for the play-offs and when we got the equaliser I felt that maybe we could get something out of the game but Josh popped up with the winner."