Jeff,
How are the tank vents positioned?
Upright vents will breath normally when upright, but are covered with fuel when the engine is inverted. That could account for the engines slowing, and eventually stopping. The engine draws only air through the vents upright, but when inverted it must draw air through the vents, and through the fuel covering them, which can lean the engine too much.
There was an illustration on one of the C/L forums showing how to turn the vents to the inside of the circle, and plumb the vents with fuel tubing, so they don't drain half the fuel while handling the airplane.
As I recall, it was a loop from one vent, all the way around the tank to the other vent, with the only opening in the fuel line towards the outside of the circle.
Anyone remember how that's done?
Bill