Others have already covered the "race tire" options (Crow, Nano, Karma) and the slicks (Transworld City, Top Touring, Big Apple), so I'll stick to the true semislick choices since they aren't as generally well known:
My first pick would be the IRC Mythos XC Slick 700x42, if for no other reason than they're stock on Fisher Dual Sports, so barely used ones are easy to come by. Your dealer might even have some extra take-offs lying around. Rolls well, not too heavy, decent volume for a 42, decent offroad, not too expensive. A few other options:
Maxxis WormDrive 700x42. Fast and light (440-450g), though visibly smaller than the Mythos. If speed is your goal and you aren't too tough on tires, might be the right choice.
Kenda K847 Kross Plus 700x38. Heavier than the WormDrive, but otherwise very similar in terms of tread and casing size. Somewhat better offroad performance than the Worm, and substantially more durable. Cheap! $15 MSRP -- I got mine for $6.50 at Nashbar a while back. Speedgoat has them.
Michelin TransWorld Sprint 700x40. Despite the marked size, bigger than the WormDrive. Totally puncture proof, with a center diamond tread and decent edge knobs that work fairly well together offroad. And generally under $20, available at any LBS with a QBP account. Does roll slower than the others due to its puncture belt though, and it's fairly heavy at 650g.
Schwalbe Black Jack 1.9. This would be my first choice for a dirt road camping trip where substantial rocks or gravel are expected, though it may be overkill for your trail. Rolls fast due to its raised center section, but grips almost as well as a full knobby. Under $20, direct from Schwalbe North America.
Specialized Borough 1.9 is the biggest semislick available, now that the Kenda Khan is out of production. Haven't ridden it but should work well. $40 (ouch), direct from Specialized.
Hope that helps!