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Fascinating idea. There are some 1800-2000 FIDE players here, I know that.
I suspect we have lurkers and very occasional players 2200-2300 or higher;
others could say. Give Gary G a game he's comfortable with and good at,
and I could not tell you who would win a game between him and a GM. 

Gary's right about 'postal chess'... And it's a couple hours later,
and comments have marched on. Postal chess - given some time to look at
the position, and a chance for a little analysis, in the 'right' games,
I think there are several players here that could do quite well against
almost anyone. 

The 'right' game? Well, Matt Montchalin is an expert Ultima player; the
only one who has beaten him here is Roberto Lavieri. Okay, this is not
'chess', but I think almost anyone would agree it's a chess variant.
Yes, I think Leko would have some trouble there. 

The chess experts do not use short range leapers except the knight. They
do use, almost exclusively, 'infinite sliders'. Playing Capa variants
against a GM is foolish, unless you want the experience of being
dismantled by a vastly superior player. This is clearly because the pieces
and setup in Capa are instantly obvious, and recognizable as being
FIDE-like. This plays to the GM's strengths. I'd play anybody in my
large Chieftain Chess variants [that's one that Gary was specifically
thinking of in his comment], and would play 6-8 people simultaneously on
the same gameboard in a live game. That game very specifically trades the
strategic depth of standard FIDE for 'strategic width', in that the
entire gameboard sees movement each turn. Heck, I might even win some. And
there are people here who enjoy and often play specific games, and play
them very well. This site could probably field a team of players that
could take on a group of masters or better, and do well. But the team
would have to avoid the Omega and Grand Chess type of games as much as
possible to give themselves the edge.