You might want to back off the timing at idle from the "as instructed" directions. A few too many degrees of advance is way worse than a whole bunch of too many degrees retarded (as preached by HRL).
If nothing works to solve the hot soak, no start scenario, I would recommend using an electric fuel pump with a pressure regulator which has a return line to handle the excess fuel back to the tank in a separate line. This will keep a constant flow of gas through the lines, keeping it much cooler. You can run it through the existing mechanical fuel pump without issue, or use a fuel pump block-off plate and eliminate the mechanical fuel pump.
I like the idea of not including the mechanical pump due to concerns of the possibility of the diaphragm springing a leak and having the electric pump filling the crankcase with gas.
Carl