I bought a Nip It with a bad Gator Solenoid. It is known to be unobtainium. Chas10e turned me on to the world of laminated solenoids. With lots of googling and reading datasheets, I found a solenoid that had the same mounting locations and the same width actuated arm. It is used on furnaces. When I removed the original solenoid, I found the same part number with a 1973 manufacture date. The part number is 2536-M-1 and currently made by Dormeyer.
Attached a picture of the new solenoid installed. Also had to manufacture a new roller since one was missing.