At first thought I did not like the UConn idea, but upon taking a brief look at some facts and figures I think it could potentially be a good fit.
Although Storrs is snoozy town in the middle of the woods and doesn't have the charm of any of the Big Ten cities I've visited, UConn is definitely heading in the right direction as a university (both academically and athletically).
It's also not as far as it might seem. Storrs is about the same distance from Happy Valley as Happy Valley is from Columbus.
The other nice bonus is that, while UConn might not have a huge footprint in any major market, it definitely makes a dent in both the NYC and Boston Markets. Additionally, it probably puts the Big 10 Network in all the households in the Providence market (population of ~1.6 mil in the metro), the Hartford market (~900k metro), the New Haven market (~900k metro), the Stamford market (~900k metro), and the Springfield, MA market (~700k metro).
Although Rutgers puts the BTN in more homes, UConn is somewhat similar academically, at least undergrad wise and is rapidly improving. They also don't have nearly the financial troubles that Rutgers does. The football team will be a middle to bottom of the pack team, similar to a Northwestern, and their basketball team would certainly add more credibility than Rutgers would.
I think UConn and Missouri would make fine additions to go along with Texas.