this is something that you have to accept, any type of online program or big name school will be pricey in state or not. If Ohio Domincan program checks out qualification wise, then it can be a winner due to you are a state resident, hence cheaper tuition.
Several other options are Depaul, Michigan, Washington, and Stanford.
alternative route: If your main focus is to get into the best possible school even though you don't have the qualifications. A back door to gain admission into great schools with high standards is to apply as a non-declared major for a few classes. It's easier to get accepted and if you do well then you are able to apply with a proven track record at the university. The big downside, is you may have to pay out of pocket since I'm pretty sure FAFSA wont' cover it due to no declared major and you will pay 10-30% higher tuition for those classes you take undeclared. It maybe possibly worth it since you get a big dick name school for your diploma.
If you have any questions regarding a specific universities reputation, just ask away since I can easily find out from my parents.