Cranks over good but will not start unless you push start it

Have you checked the ground connections yet? I have had a few Rangers with weak grounds at various points in the engine compartment. Near the battery and at the firewall and anywhere you can see a ground connection, clean it! The reason it may be starting easier when you push start it is that you've taken the load of the starter out of the picture, which when you have a weak ground will actually show up as voltage on the ground side and prevent things like the power-train control module and relays from operating correctly and also corrupt the crank sensor signal. It's free so lets get those grounds cleaned and tightened. I've included a picture of 2 known bad grounds, but clean any others that you can.

Your truck is a mechanical returnless system so the regulator is on the pump in the tank. I would verify fuel pressure first, the spec is 64 psi plus or minus 8 psi. The rail may have a pulse damper but it's not the regulator. If you suspect that it's flooded, press the gas pedal all the way to the floor and crank it, that puts your vehicle in "clear flood mode" it will shut off the injectors so the engine can clear the excess fuel. Also verify the compression because these engines are notorious for dropping valve seats and other head issues that will affect compression and make for a hard start and no start condition.

Excellent! Then I would go ahead and get compression readings from each cylinder.

Okay, good deal!