Don't have one, and never seen one, but is there a crank-case vent hose from somewhere on the side of the motor to the carb. Some motors have a vent from the crank-case to the carb. Usually there is a thin wall black rubber tube from this vent set-up to the carb. Could be that when you tilt the motor so the oil level submerges the crank-case vent, the oil will have to flow because of the bypass leakage of the valves, and piston pressurizes the crank-case. And when the oil level covers the crank-case vent oil is forced into the vent hose instead of crank-case gases.
If this is going on, and you must use it at that type of angle, the only thing I could think to do would be to close off the current crank case vent, and install one on a higher point on the motor, such as above the valves. However usually crank-case vents have a baffle, or even a valve set up to prevent too much oil from leaving the engine with the by-pass gases, and a simple vent might allow too much oil to leave. Something like a PCV valve on a old 8 cycinder might be a good idea to include if you do move the crank-case vent to a higher point.