Might be more aggressive than you want, but for a true dirt tire I would recommend Kenda Trackmasters. I got right at 2k miles out of the rear and i think the front will go at least 3000-3500 miles. I retire tires when their off-road traction goes away. Probably had another 500 paved miles left,or more. I'm notoriously hard on tires. Never got more than 3500 miles out of a tire on my street only bikes.
Don't worry about their street manners. It's fine. The corner great, wet or dry.
They might not last longer than other knobbys, but they're cheaper. About $120-130 for the pair. Off-road traction is great. I've considered trying another front, but can't complain really.
My bike had Shinko 705's when I bought it and I couldn't get them off fast enough. I don't know what ratio they are considered, but no. Even just riding through my flat yard they were slippery. Horrible excuse for a DS tire.
Btw, Gen 1 or 2? If you're still shopping, I've got a Gen 1 front wheel I need to unload.