I'm looking for Heroes players who play quickly (1-2 minutes per turn, but WITHOUT a timer!).

and regarding the game time, I'll say again that the less time per turn, the faster the game progresses.

And the higher the time limit, the more comfortable it is to play (unlimited time is the best) and that's also a fact (of course, if both online opponents respect their own time and the time of others). And, as my experience shows, the games don't last much longer than those with time limits.