Another hurdle is the Big XII doesn't sponsor hockey as a conference sport, we'd have to align with a different conference. I'd think (and hope) JP would focus on the Big XII sports first.
Hockey conferences are a totally different ballgame (if you'll pardon the expression). No "regular" conference sponsors hockey, even though the NCAA recognizes it. Instead, there are six D-I hockey conferences (four for women). Of all the men's teams, there are only seven BCS schools plus Army. Almost all of the schools competing at NCAA level are much, much smaller; men's hockey is probably their primary sport, maybe alongside men's basketball.
Outside of the NCAA, pretty much all club teams are members of the ACHA. There are different skill divisions and conferences within the ACHA. Men's D-I has six conferences, and D-III has eight. D-II is split into four regions, rather than individual conferences. Women's hockey only has D-I (18 teams) and D-II (28 teams). Looks like both divisions have conferences, but no information is available online. (Iowa State women compete in D-II.)
Here are the ten Big XII men's hockey programs:
Colorado- DII, ACHA (West)
Iowa State- DI, ACHA (CSCHL)
Kansas- DII, ACHA (MACHA)
Mizzou- DII, ACHA (MACHA)
Nebraska- DII, ACHA
Baylor- DII, ACHA
Oklahoma- DI, ACHA (Independent)
Texas- DII, ACHA
Texas A&M- DII, ACHA (SCIHA)
Texas Tech- DII, ACHA (West)
Oklahoma State has contact information for a men's team listed on their rec services club sports page, but I can't find any other mention of the team. Maybe they exist, maybe they don't.
Kansas State doesn't have a hockey team, but they are REALLY into roller hockey over there. So is Oklahoma State, for that matter.
None of this changes hockey's pecking order in sport upgrades, but conference alignment is also not a problem in the slightest, if and when we do move up to NCAA level.