I think the key to your statement is that "management doesn't want me to leave.." Unless they are restraining you against your will, this is a powerful statement that they value you and want to keep you. I recently heard a religious ethicist speak and he said there are two kinds of situations. In the first, you ask what shall I do? In the second, you ask how shall I respond/behave toward with dignity to this thing that has occurred that I cannot do much about? Sounds like the license suspension is a fact, so the event will be measured by your response to a difficult situation.
Unless you have spectacular clerical skills, staying in your present situation with a supportive employer may be best for your resume and benefit situation and may most speedily return you to optimal pay. If you have some supportive friends in this present work place that may hold some benefits over going to a new work place where you have no support system. Consider legal counsel so that your interests are best represented with the board. Don't feel you need to answer questions asked by other "nosey" employees who do not have a "need to know." Just say something like, "This is a difficult time for me and I'd appreciate it if you would respect my privacy." Say it over and over if you need to. Ultimately stay or go is your call.
Our state board publishes a news letter that lists nurses who are being brought before the board, so I am astonished by the numbers of nurses that are being affected. I do not imagine that you are alone but don't really know how you tap this group of people. If your infraction is drug or alcohol related, you should be able to find support groups that include other professionals.
As guided by legal counsel, try to be as responsive and diligent as possible about attending to the terms of your re-instatement and this will say alot about you.