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Where has UW played south of the border in non-bowl games?

The most recent tilt was on a basketball court.

Teams like Wisconsin should play all the games they can in CA, TX, and FL for recruiting purposes.  Those you listed are helpful, I was just genuinely wanting to know when/if they had and where, so thanks.  



Maybe if we compared Wisconsin and a northern team with a dome, like Syracuse or someone, and see if their teams hosted are markedly different, we'd have something.  But back when Alvarez started, Wisconsin didn't matter and Syracuse was legit.  Then they sort of flip-flopped along the way there.  

Against LSU in Texas.

I know this isn't what you're thinking, but in the Alvarez era ('90 to present): at North Carolina, at Miami, at Arizona, at Arizona State, at Stanford, at Washington, at Colorado, at Syracuse, at Fresno State, at West Virginia, at SMU (in the SWC days), upcoming at Virginia Tech, at UCLA.

The Badgers are willing to travel to play good opponents, but they won't play just anyone--there has to be a reason for it. And, as Badge suggests, they have traditionally run into problems with teams' willingness to come to Madison. My recollection is that they were close with Texas a few years back, but the Horns backed out.

Texas didn't "back out" of any contract with Wisconsin.  But I'll agree with the general sentiment that Texas views playing Wisconsin as having too much downside and not enough upside.  The Badgers are a team that's good enough to beat you (twice), and yet you're still not going to get much credit for scheduling tough.
For reasons that are likely obvious, Texas prefers to schedule the top national brands like Notre Dame, USC, Ohio State, Alabama,cand Michigan (all of which have been on the schedule in the past 4 years or are on the upcoming schedule over the next decade) plus other well-perceived brands like LSU and Georgia (both of which are on Texas' upcoming schedule over the next decade).
Now, Texas actually DID back out of a contract with Minnesota about a decade back.  When it was signed, I said I'd wished it had been Wisconsin, and when it was canceled, it certainly looked bad.