Since the DRLM will stop doing it's thing, can you rewire the High Beam Relay so that pin_30 (COM) will now go to the Harness Headlight Sockets and Pin_87 (NO) has the fused B+ on it. Now take the 5vdc from the DRLM and run that to Pin_87a (NC).
Not sure if this applies to you, but search for "one day one trial system". I know things differ from federal to each state to each county to each city, etc etc.
Guy on here had a 2.5L running RICH. Had a bad fuel pressure regulator. His problem was spitting fuel out the hole shown in the photo when engine was running. Something to check for.
I only meant to swap your current relays around. If fuel pump relay was a problem then swap in a different one.
Electric dc motors that don't spin are a direct short to ground. That why I asked to disconnect the fuel pump connector. No current flow in circuit. Now we're looking for battery voltage along the fuel pump circuit.