You should sell the swag. Apparently there are people across the country who buy/collect corporate swag. Especially swag of ones that are dead startups or failed businesses.
I suspect that, like many things the right person would want but which don't have a lot of intrinsic value, connecting them to someone who would actually put cash on the barrel is probably more trouble than it's worth.
I have sold on eBay and it's a pain in the neck especially for a random one-off sale, and I'm probably not going to get >$100 for a random box of tech swag--which is what it would have to be for it to even start being worthwhile. I also have a big stack of laserdiscs. Same thing.