I'm Navy, obviously and the Army is different. It always interests me to hear the differences in difficulty thresholds for medals in the Army & Air Force, to wit, getting an E3 a mid-tour Achievement medal in the Army is regarded as easy?
It'd be near impossible to get an E3 a Navy Achievement Medal just for doing their job well ... even extremely well ... even at end of tour. It's expected that they do their jobs well. They really need to step out of their job description and do something special.
I think the Marines use magic 8-balls for deciding who gets awards. I've seen NAMs given for rearranging filing cabinets and not losing more than 10% of the records therein, and I've seen Purple Hearts denied because a dirtbag gunny didn't think the Marine was wounded bad enough.
I assume the Air Force hands out Achievement Medals as the dessert cart rolls by the 9th hole, but I could be misinformed there.
But more seriously, we do have something called a Flag Letter of Commendation. It's not a medal to wear, but it's worth a point for advancement. If the Army does those too, it might be something to look into.
Regardless, I'd assume that any award in the Army (like the Navy) need to go through the individual's direct chain of command, so maybe start by talking to his division officer, or whatever you dirt pounders call the junior officer next in line above him.
The last thing you might consider if an actual award doesn't work out, is to just fill out one of the patient/"customer" comment cards that every clinic seems to have. At least at Navy hospitals, the CO/XO read all of those and then pass them back down through the chain to the individual. It's a good way to get someone some nice attention, and you don't have to be in their direct chain to do it.