OK, a few problems with your plan, if I understand correctly. First, the DIR-655 does not support the 5ghz band, so if your plan is to give 5ghz access to the internet to your streaming devices, the DAP-1522s will need to talk directly to your router. The DAP-1522s when used as bridges also will not talk to each other directly, unless you go through the router, which means you still need to have either a router or an AP that supports 5ghz. Also, the DAP-1522s are either 2.4ghz or 5ghz. They do not support simultaneous tx/rx on both bands.
You could use a separate DAP-1522 as an AP connected to your router to give you 5ghz ability, but I don't recommend it, because the DAP-1522 antennas are internal only (less range). If buying new, I would sooner go for the DIR-825 simultaneous dual band router in this situation. The DIR-825 will let you set up a separate 2.4ghz and 5ghz networks, as well as guest access zones, if necessary, and has better range than the DAP-1522 will give you as an AP. The DIR-825 coupled with one or more DAP-1522s should give you what you need, because you can set some of the DAP-1522s up in 2.4ghz mode if necessary and all will communicate with the DIR-825. If you already own a DIR-655, or if you run into further range problems with the 5ghz band, you will also need to throw a 5ghz wireless repeater into the mix. A lot of people like the Hawking N repeater, and I think Buffalo makes a decent 5ghz repeater as well.