A lender would likely approve you up to $276,527
On $87,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $2,030 a month toward housing. With $41,000 down at 6.65%, that reaches roughly $276,527 — a $235,527 loan at 14.8% down. Your resulting debt-to-income ratio would be 36%, and you are currently limited by the housing ratio.