Im not sure if it would be financially possible based on those figures, but this is the process I went through to buy a new construction home:

Visited the community. Gave a like a $200 deposit to lock in the house price while they verified my income. I worked with the builder's preferred lender, and the only hiccup was when they asked about my legal status. I told them I was DACA and they didnt know what it was, so I just told them it was a work permit I renew every 2 years. They asked me to provide them with proof that I had a work permit for at least the last 6 years if I remember correctly to establish steady ability to work. I sent them copies of my last 3 work permits and voila. Approved and closed escrow.

There are other steps in between that you do with the bank, but Im guessing you are only interested in the DACA part