Unfortunately, machinists tools (for the most part) are items not much in demand any longer. Yes, there are a few hobbyists like myself and a few pro's still left that use them, but most things today are made by robot, CNC machines and the days of lathe, milling machine and drill press operators are long gone. Most manufacturing is now done overseas.
My suggestion would be to try eBay or this site right here. There are probably a few guys like myself who might be interested in a few items. The other thing you could do with anything you are stuck with is to donate them to a trade school or similar and take a tax write off.
I have purchased many many high quality Starrett, Brown & Sharpe, Luftkin, etc tools on eBay for a fraction of what they would cost new - and some of them were actually new in the original box. I've also bought some Snap-on tools brand new for about 1/3 of what the truck guy sells them for. We now live in a very different world.
I will be in the same boat you are in down the road as my own kids and close friends have no interest in my machinists, mechanics, hobby or specialty tools that I have. Oh well....... at least I will have gotten a lifetime of use and enjoyment out of them. I know that's not the answer you are looking for and I sincerely hope you prove me wrong!
Seriously, try listing some here on the Forum. You never know! Good luck.