Usually Koalas, Jammers and Hackers are your go to against airborne troops. If you saturate your deployment with area denial tools, they will have to land elsewhere.
As Corregidor I'm mainly using my Jaguars and linked Tsyklon. Lunakhod is an obvious choice if you need to specialise against it.
WarCor and Zondbots (for Alert / Engage) are the other notable things I have that get deployed with AD defence in mind. BS15 Feurbachs with 360 visor are a solid start though.
Puppetmasters as well (without Puppets). Mine + ability to go on Suppression Fire makes them great at guarding a flank vs AD.