I know most of you already have stellar LORs' but this is Just to help the WOFT guys/gals out who may not be the son of Sam or have any real connections with the military in regards to obtaining a Letter of Recommendation from somebody relatively important:
Go online, search around for the closest ARMY military installation, run through the installation's websites for "tenant units" and try to find the words "Calvary", "CAB" or something remotely related to aviation (Most units will have an aviation battalion attached to a parent brigade, and as the parent brigade is the only "tenant unit" displayed, it helps to dive deeper into the individual brigade to figure out if there is an aviation unit).
Once you've found an Aviation unit, search on google or a DOD website and try to find a website dedicated to that unit. Almost every individual Aviation battalion and/or Brigade will have a website and phone number to the headquarters/command list therein.
Now here is the obvious part: Call that number! Be prepared for a Lt. Colonel or even the Full Bird to pick up on the other end as was my experience (Cannot explain how intimidating that situation gets). Try to quickly but thoroughly explain your situation (WOFT applicant, no military ties, possibly shine someone's shoes for LOR, please help, yes Sir, no Sir!).
Keep in mind, you are essentially cold-calling a career Field grade Officer, asking for someone in his command to maybe consider the possibility of staking their reputation and writing an LOR. In that same mindset also realize, you have the drive/balls enough to cold-call a Colonel and I guarantee it will actually be looked upon respectably by someone that made a career of tenacity and who's character attributes prominently display both Drive and Balls.
Gotta say, the Senior Flight Warrant whom I got in touch with was one of the coolest guys I've ever talked to. He was extremely understanding of my situation and was willing not only meet up and write me a LOR, but extended the olive branch and gave me more contacts in his unit to call as well. Remember, these guys are evaluating you to become part of their own niche within the Army; So do well to impress and don't take it for granted, but also remember that they want you to succeed and become a part of it as long as you aren't a totally sh*t bird.
Don't make the mistake of calling anyone until you've at least completed your ASVAB and SIFT test. Most guys would rather review your entire complete packet (before Battalion board) before any type of LOR. I got lucky on my first try, so I can only speak from MY experience. Do not expect anything from the call, and for the love of God, if you have no chance of being selected at all, DO NOT even attempt to waste their time. Unfortunately I have to add this disclaimer considering some of the WOFT applicants I've talked to seriously think that, for example, a prior DUI is O.K. because you can waiver it. Unless you are a Medal Of Honor winner, a DUI does not fly, FYI, big guy.
Last thing, If you do not have a single LOR from either a regular Line Officer or Warrant Officer CURRENTLY IN Army Aviation, I highly insist you either network with your current LOR'ers to get in contact with one, or do as I've explained above, in that order. Not detracting at all from anyone's LOR'ers achievements or positions if they are RET. or are AD and NOT in Army Aviation, but an LOR from an AD/AR Army Pilot is one of the biggest singular boost to your packet that it cannot be overstated enough.
Hope this helps.