You can't count on a hospital paying for your whole BSN program. Make sure you find out ahead of time and don't just assume. I know A LOT of ADN nurses right now having to or choosing to go back and get their BSN and most of the hospitals have a cap on their tuition reimbursement and don't pay for books, etc. Some will make you commit to working for them afterwards as well (which for some is fine, others not so).
As a nurse, your schedule most likely isn't going to be set in stone, most weeks I know my schedule is different and trying to schedule things at times can be difficult.
It is NOT easy IMO to go from ADN-BSN because working full time and going to class (even just one class at a time) is hard! Most of the ADN and LPNs in my BSN classes are worn out and tired from working long, hard shifts.
So no, since your asking, I wouldn't turn down BSN over ADN unless it was just a really horrible BSN program. I think, most of the time, it is just better to get it done with and move on.