A lender would likely approve you up to $202,586
On $65,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $1,400 a month toward housing. With $37,000 down at 6.65%, that reaches roughly $202,586 — a $165,586 loan at 18.3% down. Your resulting debt-to-income ratio would be 36%, and you are currently limited by the total debt.