Re: 2010-11 Schedules
Ye Olde Championship Handbooke, as of last year, says 20.
I suspect the number of minimum contests a year is intentionally lowballed, in all sports, as a hedge against (a) geographic isolation of member schools, (b) catastrophic loss of facilities, and (c) a program being so overwhelmingly crummy that hardly anyone wants to be seen playing them.
The NCAA's not so much interested in making sure that everyone in their organization is equally competitive, so much as they see everyone has an equal chance to compete in principle.
GFM's right in that a hockey program that can only clear a 20 game bar out of 34 possible is not a particularly healthy program. It's not, however, necessarily the case that they can't have a robust home schedule. It wouldn't be a particularly good one competition wise (and it's not likely this team would be performing well enough in their 20 NCAA games to get a sniff at the national tournament), but they could schedule extra-divisional or extra-NCAA teams (domestic or international) and smooth out any imbalance there, and still have the opportunity to play should they be good enough.