If your total cost at Iowa is $2000 a year, the prices are never going to even out. You will be paying your full living costs at Bama but not at Iowa and, absent getting an RA job or something like that that will pay your housing costs (and RA jobs are very hard to come by), you’re not going to be able to live in Tuscaloosa for anywhere close to $2,000. Most leases in Tuscaloosa are 12 month leases, and while there are certainly sub-$500/mo. rents to be found, many are more expensive and you have food and utilities on top of that.
That said, if your parents can afford and are willing to pay for either, you don’t need to choose based on cost alone. Visit both, compare the programs and decide if Alabama is worth the extra cost. It may or may not be to you.