"just run a power wire to that post on the solenoid and use my own 12v switch"
Not condoning it but sometimes necessity is the mother of invention and you do what you have to. My largest concern already stated with this is the location of the damping diode, not sure if it's built into the MPEM or solenoid but there's one there somewhere. Why not next time you drive by radioshack stop in and buy a pack of 6 for $2 and throw them in your tool box, hanging a 2A 1000 PIV diode in parallel with the solenoid coil terminals can do no harm, certainly COULD keep from damaging something. Fuse the power source and you're at least safe from Murphy's law?
Kinda beats spending several hundred or more on a used MPEM that might be bad or mismatched just to discover something else major wrong like a scored piston. And, good luck obtaining that MPEM before July 4th.
MPEM's are out there, they aren't usually free and it normally takes some digging to find the correct one. I'd be considering it, might even get lucky and find one for $10 at the flea market or something, even a blind squirrel gets a nut once on awhile. Sometimes it doesn't pay to go cheap, who knows the final outcome? Meanwhile life goes on, doesn't it?
Doc's right about running out of water, what's up with no cooling water till the head overheat alarm sounds, WTF? REVing out of water no load well maybe not a good idea, eh? Yeah, the impeller is liable to vibrate just a little, heat in carbon drive shaft seal has nowhere to go.... Come on, man!