I applied for admission for a second bachelors in June after my first year of a masters in music. The school had rolling admissions and I got in immediately. The biggest problem was getting in all of my transcripts.
I went to much better schools for my music degree. When I was in music school, I was considering doing bio and I applied for the LS&A and got in. I went to music conservatories so admission was separate and I did not know how I would be viewed. I had other friends who also tried this who were not so lucky. It is a highly individual issue.
One warning, it is expensive to get another degree. Out of high school, I was offered a full ride to where I got my BS but because I went after my BM, I had to pay. I had really nice financial packages to top notch schools the first time around but once you get the degree, anything else at the same level is on you.
Now a lot of this is different if you are talking about dual degrees. That is school dependent. From what I have seen, the more prestigious the school, the more willing they are to work with you. At the lesser known schools, you have to jump through more hoops. When I was working on my BS in bio (2nd), I decided to do a third degree and that was really easy at a school that usually looks down on it. They told me the only reason they made it easy was because I already had a degree from a great school so they were not concerned about "if" I was capable of doing the work. Their second reason was they wanted to help me because I had a clear picture of what I wanted. In fact, they were very helpful and did a lot of "bending" because I knew what I wanted. I had a similar conversation with someone at that school right out of high school and they said that they frowned upon what I wanted to do because most high school students that go to this school do not understand what it takes. They said that with my high school background, they believed that I could do it but they would not make it easy for me because of the "typical student." This is why I did not go there out of high school.
Whatever you do, be sure to find "the right person." I wish you the best of luck.



