I have 2 liquor stores near me that have baskets of them out on the counter. I already asked at one, and he said he'd order them for me and provide a discount at the time I need them. Like navybaby said, ask around local stores.
I've never heard them called that- always called them shooters. But I get it now I agree with PPs in checking with liquor stores, though I don't think you should call those favors. Not everyone drinks, and definitely not everyone shoots.
Re: Airplane shot bottles