I went through this at my last house that had 8 large Black Walnuts (man were those walnuts a PITA in the fall). From my research log buyers are very picky, especially when they are taking small lots of the stuff. One or two won’t make them go out of there way for it unless it is PRIME wood. Also if it is grown in an urban area and not in the woods they generally don’t have the proper characteristics they are looking for. Urban trees generally grow more out than up, and they have a potential of objects in the trunk like nails, wire, etc. that could damage their equipment. They also don’t have the straightest trunks.
Where are you measuring the diameter? You should be measuring it 4 1/2 feet above the ground. Unfortunately 15 inches is about the smallest timber buyers are looking for, with a merchantable height(1 foot above the ground to the base of the first branch) of 8-10 feet. Otherwise there are too many knots and imperfections for veneers.
It doesn’t hurt to talk with a tree company about it, but I wouldn’t get my hopes up of getting a huge reduction in removal price.