A lender would likely approve you up to $373,222
On $92,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $2,147 a month toward housing. With $94,000 down at 6.65%, that reaches roughly $373,222 — a $279,222 loan at 25.2% down. Your resulting debt-to-income ratio would be 35%, and you are currently limited by the housing ratio.