Max, I will let others step in with advice about specific products. You may have already thought of this, but I want to urge you to consider solutoins that don't involve a repeater -- I suspect that the latency introduced will be frustrating for things like VOIP. (Also, unless things have evolved, I think repeaters are all somewhat non-standard, and therefore a little finicky about whether your other network equipment is from the same vendor, etc.)

Is there any way to hard-wire an access point to the CCAP(tm)? Like, running an ethernet cable to a wireless access point (via wire that's either inside or outside the house) that's a bit closer to your room?

It might take a bit more work upfront, but the parts would be more standard, more reusable, in addition to providing a connection with less latency.

Pete