Fuel pressure dropping while driving and under acceleration to zero at idle runs 4 lb electric Blue

Thanks for the quick reply. I use two fuel gauges. One is liquid fuel on the intake at the regulator and the other one is a mechanical one next to my boost gauge. I don't know how long I've had this issue but I have had problems with the supercharger when it gets hot like 200 210°, it never boils over but started running rough like it was starving for gas. I thought it was ignition issue. Never thought of being gas related after it cooled down. It would run with no problem until it reached an operating temperature. 212 or so. I have a one 90° thermostat in it now. It is a 440 supercharged. I'm not running any boost just normal driving around town.