1). This is not about experience. It is about YOU.
2). What do you want to do, in the process and after you are done? If you just want to be a clinician, DNP as it stands right now adds minimal benefits. If you love teaching, research and non-clinical jobs, that will be another story. Do you want to work in the process? How much other obligations, for example, family, do you have? Can you afford the school, or you'll have to get another loan? How much time you think you have - options are from less than 3 years (full time accelerated MSN in 16 to 18 months, then direct full time DNP in 1 year, but you'll have to stop your life for that time) to 7 years (very much part time all-star inclusive programs, when you can comfortably work and have some life)?
3). You just started your acute care experience. Are you sure that's what you would like to do to the end of your career? Frequent fliers, "last straw holders", drug abusers, "fixing" things which are not fixable and you know it, never being on top on totem pole and never truly independent?
Spend some time just thinking about it... then, if you are sure, go. Do not worry about experience - bedside nursing may give you a lot, something or very little of what you need as a provider, depending on where you work and what you can make out of it. Take time, choose good school.
Good luck to you! It can be done, and it is not THAT bad.