Groton, CT Naval base is about 45 minutes from my academy. I grew up out there. So, you could request Groton/New London Naval base. I've had a couple of Navy guys, Marines, etc train with me while stationed there.
i would love to go air force, but i'll never make weight. I just qualified for Navy. under 25% body fat. I'm 6' 240lbs. so dropping another 40lbs would be hell. lol
You should probably consider not going into the military if weight is an issue. It will just be a constant struggle for you and you'll get shit from everybody throughout your entire career. Plus they can and do punish/kick you out for being too overweight. If you can get it under control, you should be good. Everyone I know that went into the navy likes it (except for one guy).
I could be biased because I was in the AF, but I say join the Air Force. You shouldn't settle for something you don't want. Nothing worthwhile is ever easy....besides, you don't want to have your name stenciled on your ass do you?