Use the Genie stuff, which is Lubriplate Low Temp. A NLGI 2, anhydrous calcium grease.
I think Super Lube, a Teflon-thickened grease might work in a pinch. So might Molykote 33, a lithium-thickened silicone grease. Both claim plastics compatibility.
A long time ago, Genie Screw Drive was the de facto choice for garage door openers, they handle one-piece doors well. With the advent of sectional doors, Chamberlain/LiftMaster took over with chain/belt drive. I still lube the T-rail of LiftMasters with a smear of Genie/Lubriplate grease.