Many programs have already transitioned from offering a MSN to a DNAP. Honestly, I don't think it makes any difference, just pick a school which will give you the best clinical/residency experience. Rushing to get into a program early to avoid the DNAP requirement is only hurting yourself in the long run. Myself and most of my coworkers have no plans to go back to school for a DNAP.
Focus on getting a solid foundation in a high acuity ICU (fresh surgical patients or hearts), get ACLS and PALS, work as a charge nurse, work on unit committees and projects... Make the most of your ICU experience and then do the same in CRNA school. You should feel comfortable and be able to work as an independent provider when you graduate. Take call, stay late to finish your cases... The more experience you get, the better prepared you will be for a job after graduation.
Also decide if you want a front loaded (1 year class only, 2 years 40+ clinical hours a week and only 1-2 classes a semester) or integrated (clinical hours mixed in with classes for the entire 3 years). Look at programs and find out where they their rotations, what opportunities you have at these rotations, do they hire students, where do most graduates go to find jobs, how saturated is the area?