I can try to find you a Ford part number, just state what year Expedition you are looking at.
If buying from a dealer or individual, I'd make this repair part of the deal.
I believe Pollak is or was the OEM supplier. Really can't go wrong with any aftermarket brand though. Reece, Hopkins, Draw-Titie, Curt, U-Haul come to mind. You are talking about a $6 part here.
Personally I'd have no issue with soldering on a replacement 4-pin receptacle, then heat shrinking those joints before re-inserting it into the plastic split tubing. Not a fan of twist & prays or splices myself either. The male pin on the vehicle side is ground and most often trailers ground to the frame anyway, so could be moot once you set the coupler on the ball.
A 7-to-4 adapter would also solve your issue.