You do need a throttling carb, a barrel throttle type RC carb will work fine with about a .188" bore in the barrel. To reiterate, you need a propane regulator of about 4-5" water column output pressure (Weber Go Anywhere portable gas grill), a JH demand regulator (DR), and a throttling type RC carb with a needle valve at the carb. Keep in mind, the discharge side of the DR remains at 0 pressure at all times except during the intake stroke. On the intake stroke, this side goes negative pressure allowing fuel to flow to the carb.
Also, on the intake stroke the intake valve should give an audible "buzzing" noise. If not, you should reduce the spring pressure a little at a time until you get this action on the intake valve. You may not be getting adequate cylinder fill due to a short intake period.
Jeff