A lender would likely approve you up to $230,595
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 $33,000 down at 6.65%, that reaches roughly $230,595 — a $197,595 loan at 14.3% down. Your resulting debt-to-income ratio would be 36%, and you are currently limited by the total debt.