If you're bouncing, you are probably in the wrong gear. Try for smooth and even.
You could vary your style, mostly spin, mash some.

PS Where is the N&O trail? I know most of the trails in NoVa, but I don't know that one. W&OD or C&O maybe? Perhaps Fredrick, Maryland, rather than Virginia?

Trail users around here are pretty good. When I've had blow outs on the trails around here, someone has always stoped to help. I try to stop and help if no one else already has, but someone usually beats me to it.