ASN or accelerated BSN before MSN?

Do MSN programs ever look at accelerated BSN GPA for entry? I want to be an NP, but my undergrad GPA in a non-nursing major was a 2.85 and most programs require a 3.0. However, my prerequisite GPA is 3.6 and I could for sure get an associates. Which path is better? Should I get an associates and get work experience as a nurse, then hopefully get into some masters program with my non nursing degree? Or should I get health care related experience and try to get into an accelerated BSN (which, I understand might be difficult itself b/c a 3.0 is often needed, but would be an opportunity to show a better GPA) to improve my chances at a masters? HELP! Thanks!!