I know some areas up that way pretty well, but all of them are pushing your 30-40 minute requirement. Well, ok, beyond it. (the area I know well starts at about 30 minutes from there, but the vast majority is 45-60+). Those would be the Tionesta drainage to your North, as well as the Oil drainage and direct Allegheny tribs to the W/NW. There is also good trout area to the East, the upper Clarion system, but I don't know it quite as well as some others do, so go to them for answers. If your willing to go that far, PM me.
For trout, I think Cooks Forest kind of falls in a no-trout arch, with good fishing to the W, N, and E, lol. You can thank coal mining for that. Clarion County is not a great wild trout county overall, the saving grace is that Venango, Forest, and Elk County's are good. That said, have a look at the natural repro list, I think there's a dozen or so in Clarion. I'm betting 1 or 2 of those actually fish pretty well.
I think I remember when I was a kid, my grandfather used to take me to a stream right in the park. Tom's Run? It was a very small stocked stream, overpressured due to the tourist thing, and there was a couple of smallish natives. No idea if it's still the same.
That said, the Clarion River itself in that area is a fine coolwater fishery. SM bass is the headliner. Can't pick a bad area, it's fine in the park...