A 3.0 is too low to be competitive to most BSN programs, but if you apply broadly enough and the rest of your application is strong you may get in somewhere. Just for comparison of application processes, medical students apply to between 10-20 schools
and with competitive scores (3.6+ GPA, 31 MCAT) have about a 50% chance of getting an acceptance from ONE school. The nursing application process seems much less intimidating when you look at it like that.
In my opinion you should apply to as many schools as possible, BSN and ADN. Although you would not prefer the ADN route, with your borderline GPA I'd assume you would rather start ANY nursing program than wait a semester to reapply to still only have a small chance to get admitted to a BSN program.
A lot of ADN programs are very easy to get into so even though you don't want to this will always remain a viable option.