I can't say I've ever seen an alligator wrench this large. And according to the ad, there is an even bigger model!
Found this pair yesterday. I paid $30 even if they just end up wall art, i think that's not bad. The head on the large one is 6" across and thickness at the jaws is 1", it is massive. It also looks like it has never been used.
Armstrong #3-1/2 & #4-1/2, 18" and 24" long.