Hi, V.,
My daughter is 2.5 and she has pretty much given up napping since age 2. The good news is that though bed time isn't much earlier now, at least she goes down easier! No climbing out of the crib, screaming, complaining, etc.
So, that said, we have put a twist on our quiet time. She doesn't like to be in her room by herself, so I leave her downstairs in the living room/dining room/kitchen, all childproofed. And she plays, reads, hangs out, doesn't feel confined. Meanwhile, I head upstairs to my room so I can check email, read a magazine, be by myself for 15 minutes. That is all the time I get, but it makes a huge difference.
Hope that helps.
H.