Look at QB rules. If you are going for a match which has a that full scholarship, there are rules against applying early to any college other than rolling admissions or special programs that require an early app.
Early Action does not require an early commitment. Early Decision does. When you apply ED, you sign a statement saying that you will go to that school if accepted and if the financial aid makes it doable. There are types of Early Decisions and Early Action. QB Match is ED and exclusive other than above mentioned exceptions. EA can be restricted in that it does not allow any other Early Action or Early Decision applications to go out when you apply to such a school
If you are doing QB Match, make sure you know there rules well
Lee University is a gem of a local school in that it treats local good students very well. We have a few of those around here too, and kids who have gone to them have done well. Many commuted and got free or discounted tuition at such schools. You absolutely should consider an application to Lee