Welcome to CAF, Jennie! :wave:
National Catholic Register regularly publishes their Catholic Identity College Guide. It's a good place to start to get an idea of which Catholic universities take their Catholic identity the most seriously. This doesn't mean that any college not on the list is utterly depraved. But you definitely want to do your research.
A few questions you need to ask yourself:
First, why do you want a degree? Is it just for personal edification or do you want to pursue working for the Church as your full-time means of employment? Depending upon your goal, you may be content to simply audit some distance learning courses rather than pursue a degree.
Next, what degree are you seeking (BA, MA, STL, PhD, STD, etc.)? Do you already have a bachelor's degree in something else? If you already have a bacehlor's degree, that tends to make it simpler in pursuing a Theology degree in particular. If not, then you have to take all the Gen Eds so that you have a well-rounded bachelor's degree. :)
If you plan on eventually getting a PhD (or STD), then that might effect where you go for your MA (or STL).
Finally (and please don't answer this one here at CAF), take a good look at your financial situation and the financial side of things. Some places can give you more scholarship money than others.
Franciscan University of Steubenville has a great Distance Learning program (if you're going for the MA). Plus they have Scott Hahn in residence. ;) Their program is more distance than online. Basically, they send you all the pre-recorded lectures and you mail in your assignments. AFAIK, there is no interactive online component. They also give you the option to buy the courses for non-credit (which is cheaper).
Catholic Distance University is another possibility. They seem to offer a variety of formats for their courses. I don't have any first-hand knowledge of their program, but a look at their faculty list shows many very reliable names (and a few that I might avoid). You'd just have to plan ahead and do your research.
I could go on, but I don't want to overwhelm you. :o Feel free to PM me if you have any other questions.