I don't know about full on strats because Every game/map is different but the only general rule I have with airborne is never go more than 3 rifles.
I've gone airborne a lot with LT, using the AAHT as a pseudo AT gun/sniper deterrent, then pathfinder 50 cals if my manpower allows, along with the LT himself, anti infantry is usually taken care of until obers and or LMG gren comes out. Or if it's a wide open map. Since airborne doesn't have any muni sinks for a while until the p47 other than riflemen smoke, you can afford to hand out a lot of bars and bazookas especially, vs Luchs.
Usually those zooks + the airdrop at is enough to derp into major.
Airborne works with captain, but with only 3 rifles... There better docs that synergize with captain
Thanks for the feedback Cookiez!