no easy answer, because your approach is well...., sorry, but wrong
The sound you'll get from any adequately powered, properly configured receiver is gong to pretty much sound the same. What will effect the qualty of the sound most is the acoustics of your room, speaker placement, and the speakers themselves, not the receiver. Assuming you have the F2's, which I've listened to and read quite a bit about, they have a tendencey to be a little on the bright side anyway, and are recommended to be used in larger rooms, and fed an abundance of power to sound their best. While seperates may be beyond your budget. I highly recommend Outlaw amps., they are an excellent value compared with what else is out there. If you are more inclined to have a receiver, I would recommend pioneer's latest line of elite receivers, which are highly underrated in these forums, in favor of yamaha, which I don't feel are built as well, all things else being equal.
Think i'm full of S*it about the room making the difference?... try moving your speakers from room to room in your home and you'll see what I mean.
Another good tool to keep in mind when evaluating the quality of the room sound, is to talk with someone moving room to room and listen to the quality of your partners voice. If you know the person well, you get a real sense of what room is best for conversation, and this will also be the best for your speakers in terms of sound. Your brain likes voice most when it is direct and natural, and when it doesn't require it to fight through echoes, reverberations, other irregularties, ambient noise etc.