I did the bachelors in something else/ accelerated masters program and have had some difficulty. I went to a pre-admissions counseling session for Cal State Fullerton's (CSUF) CRNA program and my first response was that it was going to be a problem even though I could prove that I had taken all the BSN courses (in fact, I had to in order to sit for the Ca BRN boards and to continue onto the masters portion).

After typing out my BSN portion of my classes with corresponding GPA and a letter from the head of the program, I still had to wait while the department head at CSUF tried to figure out how I was going to apply.
On the other hand, I don't know how worth it it is to take another bachelors program (nursing). In Cali, you get hit hard for "double dipping" - ie each credit is substantially more. If anything, CSUF has gotten to know my name in all these struggles and that I am determined- that can't be all bad.