Conti Gatorskin Hardshells
Schwalbe Marathon Supremes
Panaracer GravelKings might be ok too.
The new Conti Urban which is supposed to be similar to a 35c GP5000 might be worth a look as well.
If you check out BicycleRollingResistance.com they are starting to do wet grip testing. At least on Road tires. Though with your requirements, those above should work well.
__________________
Be watchful, stand firm in the faith, act like men, be strong. Let all that you do be done in love.