I have hybrid tires and as you know I used to ride on the Katy Trail all the time when I lived there. I didn't try anything rougher than that but the trail you describe, if it was short, would be ok with my tires. I use schwalbe marathons (from Walts). When I used to go to Cycle Extreme, they put armadillo tires on my bike. I was happy with both of those. A lot of people use schwalbe marathons.

Oh, I see this thread is from last month, must have missed it the first time through. I hope you already found something that works for you.