Based on my valuations you would then make probably $38,647 after income taxes (which doesn't count sales taxes nor others taxes, or property tax).
Looked for a cost of living (which is usually lower than reality) and that was said to be $1,163 per month in Seattle, or $13,956 per year.... and let's assume it cost a bit more, because usually it does more than the coat of living. Let's say at least $15,000. And your total is down to about $23,500.
I assume any loan would cost you about 1,250 per month (pure random guessing). Which is $15,000... so you're down to $8,500.
You said you owe about $500 per month, which is about $6,000 per year, and your down to $2,500.
Plus, your probably going to have to pay for gas, utilities, unexpected problems, property taxes, like maybe a car part breaks down or something.
I mean, you probably need to check out loan options for yourself, also I might of double counted some.things, like if all your food/clothing is in the credit card bills, then it might of also been counted in the cost of living.
But unless you get a really low loan, that seems extremely tight, and I'm leaning towards no... but I've never been to WA state, and I don't know your area... or the market place there.
Could be some cheaper places you can grab on a nice loan, I don't know. But based on my assumption (which could be false), I think the budget might be uncomfortably tight right now.
Then again, I prefer having a good bit of wiggle room in my budget, for unexpected situations possibly popping up... which I know some don't try to plan for.