A lender would likely approve you up to $129,902
On $53,000 of gross income with $550 of existing monthly debt, the 28/36 rule supports about $1,040 a month toward housing. With $22,000 down at 6.65%, that reaches roughly $129,902 — a $107,902 loan at 16.9% down. Your resulting debt-to-income ratio would be 36%, and you are currently limited by the total debt.