Do military bases generally offer psychological services on-base?

no only to active duty soldiers or if its marriage counseling. you are going to have to look for the nearest mental health clinic and call to see if they accept your insurance...i am a military wife and i have tricare. Im sorry and i know about your situation but the army doesnt give kudos for spouses

Yes, but not for the reasons you think. It's in the military's best interest to identify in the initial processes who might not be able to conform and perform in a manner necessary during a conflict. If this person was enlisted, there would be so much (triple what you think so much is) paperwork, money and effort spent on either disciplining or separating that person, that it's cost prohibitive to enlist him. It always comes back the the $ (substitute your money symbol) in any corporation, and that's what the military is.

Generally not very good service. Military wives just aren't supposed to have psychological problems. If you were a soldier it would be worse. The military is a bad place.

Most likely base chaplains offer psychological/emotional services

Yes, generally they do but some contract off base.