I can pay in full to any of these schools. Will that increase my chances of getting in? Are any of these schools known for doing that?
College of Charleston
U Tampa
Temple Univeristy
U Iowa
Florida Atlantic University
Coastal Carolina University
Towson U
University of Rhode Island
Drexel U
U Missouri
LSU
UNC Wilmington
UNC Charlotte
UNC Greensboro
Look at whether these schools consider themselves need-blind, or inversely, needs-aware. Even if they are aware, that shouldn’t factor too heavily I think.
What are your stats, OP?
Google the “Common Data Sets” of your target schools. Look in section C9 – which displays the GPA and test score ranges of admitted freshmen. Compare and contrast. Good luck to you
Being able to pay full price won’t help at all if your stats aren’t competitive. Colleges that are need aware may take a full pay student over one who needs a lot of aid, but I don’t believe they’ll take a full pay with subpar stats; they’ll just keep looking through their stacks until they find one with competitive stats. You have the best chance at schools where your test scores and GPA are in the mid to upper ranges for admitted students. Good luck.
Depends on how financially needy the school is. Elite schools have fat endowments and don’t have to concern themselves w how much a desirable student is capable of paying.
Lower ranked, financially struggling schools, on the other hand…
Here’s a NYT story about the University of Delaware looking the other way for full pay students from China:
http://mobile.nytimes.com/2011/11/06/education/edlife/the-china-conundrum.html?referer=&_r=0
The reality is that yes, being full-pay helps. They won’t take you if you aren’t qualified to go to that school, but if you’re the same as someone who needs financial aid, they’ll probably pick you. This question is asked at every FA info session I’ve been to, and while they always say “admissions is a different department” and “we won’t accept an unqualified student” they also say that they have a fixed amount of cash to spend on FA, and if they don’t give it to you they can give it to someone who needs it. So, in essence, they choose to accept a certain number of full-pay students.
I’m not talking about just state schools, either – we visited some top LACs with enormous endowments. As one of the them said, “No matter how much money we take in, we spend it. The college has professors to pay, lights to keep on, dorms & research labs to maintain. So admissions does tend to put the students not applying for financial aid in a separate pile – even if it’s just in their minds. They hate it, but they do it.” (may have a few words wrong but that’s pretty much the quote - I remember this clearly)
As someone whose kids are applying for FA, this was a bit depressing, but I appreciated knowing the reality.
I have 2.9 gpa because I slacked off my freshman year, and kind of my sophmore year but I had a 3.6 my junior year alone… 24 on ACT and I am in 2 AP’s… if this helps 
Check each school’s Common Data Set. If your stats are at the bottom end of their accepted range, I don’t think being full pay will help you. The closer you are to the high end of the range, the better your odds. They won’t turn a blind eye to noncompetitive stats just because your parents can afford the school. They want students who can do well there. Make sure you have solid safeties on your list.
Small sidenote - FAU is working very hard to raise their stats and it’s gotten a little bit tougher to get in there. Your ACT would be OK (I’d actually shoot for a little higher), but your GPA would be a concern. http://www.fau.edu/admissions/freshmanreq.php
Also, as much as we like it for dual enrollment, I would not pay OOS tuition for FAU.