K.H.
There is a camping area in Mantua. If I remember correctly, it is up towards or just above Logan. I dont know exactly since I only go up that way once a year and it isn't for camping. In Ogden, there are a couple of places up Ogden Canyon that my family camps at. The first place is Anderson Cove. Its a big place with access to Pineview. Another place we go, is just a little place up from there called Jefferson Hunt. Like I said, it a little place and you have to watch for the sign or you could miss it.
I don't have any other places in mind for hiking or mountain biking but I hope that gave you some ideas for camping.