I might have the "log cleat" you are looking for. Are you refering to a "Bumper spike" ??
I have a really nice super 10-10 that has a right hand start.
I bought a used spike for it just last week from a guy i found on ebay.
Turns out, that it does not fit my right hand starter ??
It might fit yours. I will get the dimensions & post some pictures.
Mike