Here's the wiring for a Blower Motor. Coleman uses FASCO but the concept and wiring would be same for other brands.
It's a Reversible motor so disregard the left half of the diagram above "ROT" and the arrows.
It's also Three-Speed so your LOW wire may be a different color than MED or LOW in this pic. But, you should have continuity between WHT (Common) and... BLK for HIGH, and whatever color is left, probably RED or BLU, but that'll be LOW.
That's all it'll take to test your motor, since you know it already runs on HIGH. That eliminates Capacitor along with BRN and BRN/WHT wires. The GRN/YEL is Ground and should be connected but isn't involved in running the motor.
NONE of all the other wires should have continuity to Ground, but again, your motor's running well on HIGH, so I doubt anything is shorted to ground.
If God's Your Co-Pilot Move Over, jd
2003 Jayco Escapade 31A on 2002 Ford E450 V10 4R100 218" WB