A lender would likely approve you up to $193,103
On $71,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $1,580 a month toward housing. With $28,000 down at 6.65%, that reaches roughly $193,103 — a $165,103 loan at 14.5% down. Your resulting debt-to-income ratio would be 36%, and you are currently limited by the total debt.