I use Metallico for scrap, by my shop. Not sure about pricing, but it’s in walking distance. You can take to the NEI (Modern Disposal) on Jeffrey Blvd. in Blasdell. I believe they accept tires, but I would call for pricing. Also check with any tire shop. It’s nit gonna be free.
I’ve got three 15" tires that aren’t mounted on a wheel, but they held air before they were dismounted this weekend.
It looks like Liberty Tire in Lockport takes them for $1 each. Another place told me that they could take 4 without charging me, but they’re not really supposed to accept tires at all.