To answer my own question for a Mitel 5000 CP system: In the Mitel DB Programming tool, enable "Online Monitor" under View (at this point it warns you about playing with things you shouldn't). Then navigate to System, Devices and Feature Codes, SIP Peers, SIP Phone Groups, the group that the phone is in, Configuration, Timers. You'll want to set "Default Registration Interval" and "Maximum Registration Interval" to something less than 3000 (the system default is 3600, I chose 2400, I believe they are 10ths of a second which gives me a 4 minutes re-registration time). You probably want to do that for all your SIP Phone Groups. I'm trying it now, will report any success.
... View more