Sorry, I don't have direct experience with this one (yet).
Attached is a rough guide to checking the fuel pressure in the line, the proper way is to hook up a gauge but this is really easy. Refer picture below. The special service tool is a piece of wire that jumpers the 12V at the B terminal of the check connector to the pump. Please be very careful as the instructions highlight, as the 12V will harm circuits on the other terminals if you accidentally contact them.
I have looked through the manual and the most common cause of trouble starting hot is the water temp sensor, followed by vacuum leakage, then fuel quality. If you can start eliminating these factors you will hopefully solve it.
The water temp sensor is listed as quite an involved job, eliminate the other 2 first. If you are still stalling on acceleration when hot (I don't know how the tank level affects this) then come back for more help.