TGIMN makes a good point that I didn't discuss -- I focused on the BON, since you mentioned them specifically in your original post.
Once you are licensed by the BON, every potential employer will have the right to make a decision about whether they want to hire you or not. All healthcare employers ask about legal history on applications now, and most do criminal background checks (so, again, there is no point in being evasive or untruthful in the first place -- if they find out that you failed to disclose something, that will eliminate you as a candidate right there). Some states have rules that require
criminal background checks in healthcare and specify that employers cannot hire people with specific types of criminal records to work in healthcare (that varies greatly from state to state).
At the very least, you will be asked to explain your past history every time you apply for a job. Some employers will not have a problem, some will. There's no way to predict how much difficulty you will have. Maybe it's not fair, but that's the way it is. Nurses and other types of healthcare workers have a huge responsibility to the public and are often in situations where they could take advantage of vulnerable individuals (and that happens quite a bit, unfortunately), so the standards are very high in order to (try to) protect the public.
Congratulations on turning your life around, and best wishes.