From what you've said, it sounds like you have a strong application. The only question would be if you meet the specific prerequisite requirements for each school. Some schools require 12 prereq courses, others 5, others none. I'll be starting at Vanderbilt in the fall and I know that they accept students who have no background, as well as students who were have undergrad majors in the field. My background was in a completely unrelated field and I took courses online with Utah State University. If the programs you are interested have prerequisites, you might want to look into USU's program because they offer a broad range of SLP courses and charge everyone in-state tuition. If you want to hear more about their program, feel free to send me a pm. Good luck!