A lender would likely approve you up to $367,398
On $110,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $2,567 a month toward housing. With $65,000 down at 6.65%, that reaches roughly $367,398 — a $302,398 loan at 17.7% down. Your resulting debt-to-income ratio would be 34%, and you are currently limited by the housing ratio.