I believe that the whole point of RHIT (Registered Health Information Technician) is that it is non-clinical, right? So I don't understand why you would need to be a nurse also. It will be interesting to watch and see if the RHIT will catch on -- it's a fairly new concept - I don't know of anyone who is actively recruiting folks with this credential in my area. They are more interested in people with BS in computer science/informatics & (as usual) relevant experience. At any rate, entry-level education seems to be Bachelor's degree.
You have better job opportunities as an RN, RHIT. A definite benefit is your salary is much better with both credentials. Yes, I want to work in a non-clinical environment. The RHIT is huge where I am from. The need and the workforce job opportunities are growing greatly.