most puncture proof I've found are spesh roubaix armadillo - 23mm carcass with extra thick rubber on (so end up 24/5 ish)
They are slicks though and I somehow doubt they're super-grippy if damp
Also using a maxxis re-fuse just now - that is "textured" & seems pretty good for not cutting up (it's flinty gravel on the roads here - I chuck most tyres that get cut waaay before they wear out - conti 4s & gator included)
I tried a WTB thing that some place was floggin cheap & supposedly resistant - sheeeite IMO; thin, really flexy & very easily cut (about 10 miles on it til 1st puncture)
([edit] - high five for flash !)