One young lady in our CAP (Civil Air Patrol) unit received a Type 7 AFROTC scholarship last year, and more than one of the private school detachments she applied to offered freshman year support directly from the unit, which equaled the $18,000 per year in college tuition offer of a Type II. So for all intents and purposes, the AFROTC Four year Type 7 was converted to a 4 year AFROTC Type II at a private school. Along with merit moneys it was a game changer in her ability to attend that school. It's all about total cost to attend so check with each unit and school on what additional support can be provided.
A lot of AFROTC students at schools without room and board support also try to serve as an RA starting as a sophomore - a job which often provides room and board as a benefit.