Actually, the hockey tourneys are always a week after the Big Ten men's basketball.
The Xcel Energy Center has a contract with the Big Ten to ROTATE the hockey tourney between St. Paul and Detroit (Joe Louis Arena), through 2017. The X got it in 2014 and will host again in 2016. They do not have it in 2015 and 2017 (Detroit gets those). There currently is no contract beyond 2017.
WCHA Hockey this past year was in Grand Rapids, Michigan and was a week after the BTT and will be ROTATE between there and St. Paul. The X has WCHA in the years it doesn't have the Big Ten (2014/2016).
NCHC is locked in with the Target Center for five years, but NCHC is also after BTT, meaning ALL of the hockey tourneys are a week after BTT week.
The bigger issue appears to be state high school basketball (at least if recent years are any indication) for the Target Center (along with Wolves) and Wild hockey for the X.
I think one way or another, the Twin Cities could find a host venue that works, especially if only once every decade or something like that.