Social Security Disability Income is not "means tested" (as is SSI.) Owning a mansion on 10 acres would not disqualify you from receiving SSDI, if that is what concerns you. You can acquire all the assets you are able to.

If SSDI is your sole source of income, then I don't see how you will be able to afford to buy a home, even a small town house.

You are allowed to work part time and earn some money, without losing SSDI. That might help you to achieve your goal.