It's nice to see landlords willing to exert effort in military markets, but at the same time I wouldn't target that demographic for a few reasons:
1) military families are more than used to moving, both during a PCS, or to another location because of price or amenities. The normal tactics of raising rents annually or per market factors don't neatly apply to military families because they have no problem moving if you suggest bumping the rent $20. Because assignments seldom last longer than 2-3 years, turnover is substantially higher than the general population.
2) the Soldier and Sailor Relief Act allows members to break their leases in the event of a deployment or PCS, which basically negates the security an investor gets with one. Service members have no problem signing a lease because they know they aren't held to it if they get orders moving them somewhere else. So while you may feel comfortable knowing that you have full vacancy, a deployment can quickly create substantial unplanned vacancy, while reducing the population of available tenants. When a service member deploys, they often send their spouse and kids to live with a relative for that time so they can still collect the housing allowance and not pay rent. As a landlord, it doesn't matter if that person is only deploying for 3 months, you have to let them out of the lease.
3) The influence the supervisor has on the service member paying his or her bills is negligible. As a commander, I had minimal latitude or authority over private disputes between landlords and their tenants. I had more than a few bill collectors call my phone and inform me that Sergeant so and so wasn't paying his bills, only to inform them that I had no recourse to make them pay anything, and suggested that they take up the matter in civil or small claims court. Legally, the only time a commander can take action is if the service member writes a bad check. Even then, that action doesn't result in the debt being paid.
4) The areas outside military installations are overrun with a few types of choice establishments that tend to prey on young, gullible service members. You can usually find used car dealers offering no down payment and 20% interest, check cashing and payday loans, strip clubs, bars, and tattoo parlors a few feet from any gate, none of which exactly correlate to a what most would consider a nice neighborhood to raise a family. There are, of course, exceptions, but I've seen more that fit that description than don't. Same goes for the residential offerings immediately outside bases as well, which tend to cater to those with less than reputable financial histories.
Bottom line, real estate investing is a business. While catering towards military customers is a noble pursuit, it comes with its own peril. The military population reflects society as a whole, the good and bad. If you want to cut a service member a discount, that's great. But understand that they are just as apt to burn you as anyone else. Remember that it's your money that you're entrusting to a stranger, and you're not obligated any more or less because they wear the uniform. Service members are competitively compensated, with regard to skill and experience.
By no means would I discriminate against a service member. Aside from being illegal, it breaks the fundamental rule of assessing each applicant by his or her own merits. I just consider them the same as the rest of the population, with regard to their credit score, income, and references. All but one of my rentals are in military towns, but I do not currently have any military tenants, for which I am slightly relieved.