I had this idea to maybe run all APs on the same channel and deal with interference using some method other than switching channels (eg. backchannel TDM coordination + cts/rts).

The good news:  Someone else apparently is also doing this and selling it.

The bad news: the other product doing it sounds like snake oil :(

http://blog.merunetworks.com/blog/2013/07/can-single-channel-really-work/