His first move is to visit the square numbered “1.” As he trots to each and every subsequent square, visiting each square only once, write in that square the number of that move. Some squares already contain the number of that move.

The cache, a large pill bottle, is at N45 14.F2 E1 F2 W75 43.B6 C2 E2, where F2 etc. are the digital roots* of the number in that square. For example, the digital root of the number in square C5 is 1.
No GeoChecker is provided since there’s only one solution to this straightforward puzzle.
* sum the digits, and then re-sum until you get a single digit