You can't file as single, but you could file as married filing separately. More specifically in your case, if your spouse's permanent residence is in MN, then he needs to file in MN as a resident. If he files jointly, then your income is also taxed in MN. You don't want to do that. On the other hand, you don't need to file a TX return at all.
So ideally, you file a joint federal return, he files a MFS MN return, and you don't file a state return. Sometimes the state provides an easier option. I'm having trouble getting details off the MN web site, @TomD8 is more of an expert on this.
If you did need to do that, what you would do is prepare and e-file the joint federal return with no state; then prepare a federal MFS return with a MN state return, don't file the federal, and mail the state.
