Second the Snowshoe Motel recommendation - stayed there a couple of years back before I bought my place up here, when I was up looking for places. Totally basic, non-luxo digs, but clean, nice people, and a great location.
The Summit Stage has partially restored the downtown Main Street service on the Breckenridge line. They are now alternating - the service that runs from Frisco Transportation Center at the top of the hour will bypass Main Street and stop at the new Medical Center. The service that runs at half-past the hour will do the Main Street and Granite Street stops as before, and bypass the Medical Center. In the evening, all runs on the Breck line will serve both Main Street and the Medical Center. So that restores the service for heading to Breck for dinner/drinks if staying in Frisco, or vice versa. Full details at the Summit Stage website
Other options in walking distance to the transportation center (which means you can always get to the Breck service whether it's doing Main Street Frisco or the Med Center) in addition to the Holiday Inn mentioned by matt7180 could be the Alpine Inn. It's pretty basic from what I know, but I haven't read bad reviews about it. It's practically at the Transit Center rather than across Highway 9 (which is where the Holiday Inn is). Puts it in good access to the Stage, plus walking distance to one of our souless strip malls (but which does have several good ski shops, a good "cheap gourmet" cafe - FoodHedz, a Mexican place and some other good services.)
Summit Inn is relatively reasonable; it's across Highway 9 in the same area as the Holiday Inn. One of the managers there was the assistant director on a show I did - seems like they have good people over there.
Wherever you stay, you need to figure in another 10-15 minutes to get from the Breckenridge Station transit center up to either the Peak 9 Beaver Run base, or the Peak 8 Base, on the resort buses that leave from Breck Station to the base areas. Not sure when the clinic starts, or which base it goes out from, but you'll have a bus ride either way. If it goes out from the Peak 9 Village base, you'll need to take the Breckenridge FreeRide bus system from Breckenridge Station over to the Village, the resort doesn't run a bus to that base.
If your clinic is going out from Peak 8, another option from the Breck Station transit center is our new BreckConnect Gondola - it should be open to the public by then. All the cabins got loaded on the cable 2 days ago and they've been running it for testing since then. It's supposed to be online to the public by early January. However, the complimentary lift tickets at PSIA events typically are given out at the meeting areas, and it looks like you need to have a ticket to ride the Gondola up to the base (note - I'm not sure about that but the Gondola building does have a bunch of ticket windows), so it might be the bus the first day anyway. In which case, leave extra time if going to Peak 8 because once we start running the Gondola, we're cutting back on the frequency of Peak 8 buses from what I heard from the parking guys yesterday.
Wish I could do some turns with you but that week is ESA Aspen, so I and a lot of Summit Bears will be at ESA. More snow for you guys!