If the tire is going flat during or just after a run, you need a valve stem cap. At speed the valve stem core can be pushed in, letting the air out. If that is not your problem, spray water/dish soap around the tire, bead, and all over the wheel, it could be leaking thru the wheel. The air is leaking somewhere, last resort, put the whole wheel/tire in a tub of water. If it's leaking thru the tire, try coating the inside of the tire with dish soap, sometimes it can seal the tire.
I always use inner tubes on the light weight wire spoke wheels I sell.
Call me if you have any questions.
Jon Hansen , Hayden Wheels, 800-624-3803, 805-444-4489 [ cell]