A lender would likely approve you up to $300,511
On $95,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $2,217 a month toward housing. With $56,000 down at 6.65%, that reaches roughly $300,511 — a $244,511 loan at 18.6% down. Your resulting debt-to-income ratio would be 35%, and you are currently limited by the housing ratio.