A lender would likely approve you up to $230,608
On $76,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $1,730 a month toward housing. With $32,000 down at 6.65%, that reaches roughly $230,608 — a $198,608 loan at 13.9% down. Your resulting debt-to-income ratio would be 36%, and you are currently limited by the total debt.