A better solution would probably be to aggregate all of the internet connections with a separate router that can handle that, and then just use the wireless routers as simple APs set up to do normal SSID sharing.
The key words to use if you want a router that can do this is "dual wan" or "multiple wan". I've used one of the
Xincom routers when I had a cable modem and metro wireless service at home. It let me set my server to run only over the wireless wan connection, and everything else preferred the cable modem. If the cable modem was maxed out or down, connections would start going over the wireless. It offers a lot of various options to get whatever setup you need up and running.