Oil change would not make this happen.
rear wheel bearings on those is usually a concern, and thats what it sounds like. Not a terrible issue, or expensive, probably 300 bucks at the going rate down in MD. Shop rates are higher in bigger cities as is most everything else.Not trying to be smart, just stating the facts.
Lets hope it isnt the ring and pinion. Seems those carriers are kinda weak and they spread allowing the gears to become misaligned, causing wear on the gear that causes the noise and ultimately failure.That job can get a little pricey.More like 800-1000. Lets hope it is just a wheel bearing.