I wouldn’t trust any screws that short not to rattle / back out of plywood.  You can put some sort of glue on them to reduce the chances, but without through-bolting I’m guessing you don’t get 2 years before loosening is an issue.  That being said, if you insist, I would use something like a #10x3/4 stainless Sheet metal screw, hex head for driving force, with a lock washer under it and drill the smallest possible pilot hole (1/16”) and apply something like bar soap to the threads.  Use a sharpie to draw a reference line across the head so you can see if it is backing out over time.