Trying to find oil filter that can be found locally from car part supply store.

Take the old filter along to the spares shop and see if they can match it up
I suspect that the same filter will fit both engines
if you want to get technical, use a verniers to measure the thread hole diameter, a thread gauge to get the thread pitch, and the outside diameter of the oil seal
by going to oil filters manufacturers on line and researching their catalogues you will find pages of filters with dimensions that will match you filter
I would rather just go and buy a genuine filter from a mower shop or kohler dealer as there may be a generic filter already listed.