They both are very good schools. Wisconsin (just called UW; UWM refers to another campus, Milwaukee) does have an edge for computer science. One fact you should note is that UW-Madison usually accepts all students generally, that is, to Letters and Science. It does not mean that you will have difficulty being admitted to computer science. Unlike other top-ranked CS departments, UW doesn’t generally have a harsh limitation to be accepted into the CS program.
If money is a big concern for you, Minnesota will provide a very good education as well. The two schools still have in-state tuition reciprocity, which doesn’t apply to you; however, it gives you an idea of the relationship between the two universities. If you prefer Wisconsin and you can afford it comfortably, you may want to choose that – the acceptance you received is the normal one for all admitted students, and I wouldn’t let that hold you back.