For wet wood you need something in the maxxis line up 42a super tacky or 40a slow reezay. Kenda nev stick-e commendable too on wet wood, better all rounder and totally progressive.
Have a look at minion DHF front and rear or DHF front high roller rear. The minion is more of a fingery clawy tread that should cling a bit better.
second the Nevegal Stick-E for "wet" conditions you could also try the blue groove Stick-E up front. I use them as my "special occasion" tyre as they don't last very long. The side wall are a little thin not so much of a problem on stick-e's as the DTC because they don't last as long.
I agree with Klunk rode Dalby forest on the Nevegal 2.1 DTC on back with a Blue Groove 2.35 stick-E up front amazing tyres had no problems at all,even on the wet wood on the north shore stuff they gripped like hell ,highly recommend them xc man get some you wont regret it, but make sure you run them at a lower pressure so they stick like glue.