I'm a Criminal Justice major for my associates going in to law enforcement..
Actually in the mid process for US Customs Officer.. They have numerous locations in TX open for Customs officer and Border Patrol.. They are actively open right now if you want to take a look.
Other than that, talk to a recruiter for the guard and see where you stand with it..
Health field these days is not any easier to get in to without experience... Even at the lower level positions..
Law enforcement will always be an equal opportunity, you get what you put in to the process. College credits will also help you in selection..
Where your heart leads you, follow it.