I majored in neither History nor IR at UW so I cannot comment directly on the rigor of those programs – generally UW is rigorous; you will be tested – but I did take three History courses while at UW: The Age of Jefferson & Jackson, Medieval European History, and Asian-American History. All three were great.
It sounds like since you did not get into the honors program at UT (and UW’s is up in the air), UW has the edge for now.
Double-majoring in International Studies (an interdisciplinary major) and History would be doable at UW. Making it a bit easier to do this at UW than at UT is the fact that both majors reside within the same school – Letters & Science (L&S).
So it may be easier to declare both majors at UW and, since they reside in the same school, it is likely that there will be a fair amount of overlap in degree requirements. You should double-check the degree requirements at both schools, but my guess is it would be a bit less complicated to complete both of these majors at UW.
If you aren’t really into sports or partying, these areas are moot for you. If you change your mind, neither school will disappoint: the Badgers and Longhorns enjoy success in a bunch of sports and both fan bases are huge and rabid, and both schools are known for their party scenes. Austin is more of a “city” so there is likely more to do socially off-campus, but you won’t likely become bored at UW, and UW is safer (as Madison is safer than Austin). Heck, if you ever get bored, just go for a stroll down State Street/Library Mall, for a bike ride along Lake Mendota (or a boat ride on it…), or for a bite to eat and some views, and perhaps Zzzzzs, on the Terrace. The UW campus offers a nice blend of cityscape and natural beauty and outdoor activity. Join Hoofers if you really want to take advantage of outdoor adventures.
In terms of UW’s libraries, within about two blocks of one another are Memorial Library, the Wisconsin State Historical Society, and College Library – two full-sized UW libraries and a huge collection of Wisconsin’s historical documents. There are libraries all over campus, but these three resources are in a great location close to the lake, Memorial Union, and State Street – in case you want to take study breaks to blow off steam. I’m sure UT has some impressive libraries too.
The cold, windy Madison winter will make you appreciate the nice spring weather. Summers are much milder (less hot and humid) than Austin’s.
If you want to see a big(-ger) city, Chicago is a couple hours away and Milwaukee is an hour away. But most students find that there’s plenty to do in Madtown.
I was a nerd who found his social legs at UW, and if I can have a blast there – crotchety, prissy old me – anyone can. You can.