I had forgotten about peltier for a long time. It was such a weak event that it seemed useless. I had a copper/aluminum contact and heated it and it produced minute amount of current. That was over 10 years ago.
Ok, so now we have Bismuth Telluride peltier devices that can drop temperature by 50 C or something. There isn't much technical details about them. How low can you go?
I saw one post on this forum from a guy who thinks -50 C. Obviously, you need a cascade system to do that. Perhaps if you had a freezer at -20 C and put your tiny peltier in it, the cold side could theoretically drop by 60 which give -80C, enough to freeze CO2.