Yes there are. In fact I believe most current receivers with airplay have the ability to be turned on remotely similar to apple tv. You just start playing a song on your iphone and push the airplay icon then select which device you want to use and it will automatically fire up and play. Here is one example from Pioneer. Under the picture of the receiver is a bar with some videos. The first video is all about airplay and will answer all your questions you posted.
I think the other major brands (Marantz, Denon, Onkyo, Yamaha, etc) also have a similar implementation of airplay. You will just need to go to their websites and decide for yourself which receiver has the options you are looking for then you can come back here and probably find a discussion thread on either that exact receiver or for the model line. Most of these websites will give the MSRP as well so you can compare prices. Also, if you are not adverse to going the refurbished route, you can check out www.accessories4less.com
and find some pretty good deals that will allow you to get a higher level receiver for a little cheaper and they offer warranties to boot.
Good luck with your search.