Someone may chime in to help you out here. Otherwise, just stop by Live Chat or give Tech Support a call. Tell them you're having to reboot your router a lot and you believe it's going bad. Verizon's typically very good with sending you a new router without question.
Give your router a factory reset, though, and make sure it's not covered in dust. Just to give that a try :)
Also, if you use MoCa for WAN connectivity, consider checking your MoCa signal levels to see if your Coaxial connections are acting up. That can also cause your Internet to decrease in speed and drop out under high load. See: http://www.dslreports.com/faq/16569