hi,

see your plan for a backup is good, but I must tell you one thing, none of the course program is not easy and it is difficult to manage time for preparation for another entrance test besides studies. so thats why students take year gap.  however if you are confident that you can manage the ug program and neet preparation simultaneously then you may go for it. I would prefer b.sc nursing course, the recruitment for nursing professionals and vacancy is good in Indian hospitals for both government and private.

however it would not be a wise decision to go for studying abroad and prepare for neet,  the life style , college curriculum etc is abroad is very strict and you must devoted to your studies and careful on expenses while studying in abroad. so first decide which of the way you wants to go. if neet ug exam is your most priority than take admission in any ug course and prepare for it. other wise if you want to go abroad then start preparing for entrance test like ielts, language proficiency test to crack the admission process.