Taking this road north is the better way to do it, and as such that would be to head to Mathias, WV on WV 259. You can't miss the signs for Lost River State Park. (Mathias is a tiny town.)
However, if you want to take this route south then you would do so by heading south out of Moorefield, WV onto CR 7 (S Fork Rd) and looking on the right side of the road for Lost River State Park Rd signs. They're about 3 miles south out of town.
You can do this road for the fun, but it's biggest asset, especially in the autumn is the scenery. You are, after all, driving a thin windy road up a mountain, no matter which way you take the road, and then you plateau on the dome for a time before winding back down the mountain.
We didn't stop in the park, nor did we see any cars, but I would imagine it's very pretty. Just from driving the road which has a 55 mph speed limit on a 1.5 lane road (God bless those crazy West Virginians) it was a very pretty set of sights, particularly when looking west.
Nothing but good things to say about this road despite it being a good bit lumpy and slender. For sure, keep your wits about on this road, because up and down the mountain can bite you, and the lumpiness makes it more fun in a quick car than on the motorcycle with your elbows flailing around, but either mode of transport should give you a good time, with the car being a bit less harrowing.
Be sure to look west, when you can, safely, for some great views and even some wild game. (Saw 4 dear bedded down watching us go by.)
I don't know anything about Lost River State Park, but I would imagine that's your 'tourism.' Other than the the only amenities are in the Moorefield area, as I don't think there's as much on the east side of the mountains.
This road is a freakin' hoot. I can say that I'm unsure of it for motorcyclists. As a biker and hot hatch owner, after having ridden it twice in my hot hatch I'm pretty damned dubious about taking it on bike unless it was to putz around at 25-30mph.
Regardless, this road is lumpy in many spots, but nothing dangerous. Just a suspension workout. The road is 1.25 to 1.75 lanes and much of it doesn't have guard rails, but does have steep drops. So, be careful.
That said, if going north you look to your left (south look to your right) and see off of the ridge down the the road below. Nice views. Occasional deer in the fields, but they're tame. They just watch you ride by. The speed limit on this road is 55, which is just mind-boggling. At 55 you feel like Ruben Zeltner or Ken Block bombing down a European Rally Stage. There is very VERY few people on this road, once you get up onto the shelf. Maybe...3 houses and the state park, that it seems no one goes to. That said, make room when someone does come the other way, because this road isn't built for traffic.
On the Moorefield side you have some silly fun hairpins and switchbacks. In my opinion, you have to try to not like this road...