A lender would likely approve you up to $307,743
On $90,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $2,100 a month toward housing. With $48,000 down at 6.65%, that reaches roughly $307,743 — a $259,743 loan at 15.6% down. Your resulting debt-to-income ratio would be 35%, and you are currently limited by the housing ratio.