Totally doable! I'm living example of it. I've accumulated ~150k in equity in my California residence. One of the best things I've ever done.

Now I'm looking for a second residence in Orlando, 250k can get you something decent there, eg. 3+ beds 2+ baths, 2010+ built. Nice place to vacay, looking forward for those panhandle beautiful beaches, south Florida, Tampa and more. Orlando is right in the middle of all the action perfect to pick and choose destinations.

Quick hint, don't tell your lender you are DACAer.