I'm about to start a rebuild on my Carter 1bbl "summer" carburetor. I'll let you know how it goes.
(I bought my Jeep this spring and it came with a spare carb. The PO said that it came with the Jeep when he had bought it and the PO had told him it was tuned for winter. He never swapped them, just kept it as spare. That's what I did until the carb quit near the end of summer. I swapped the "winter" carb on and have been using it. Had a rebuild kit laying on the bench for the other carburetor for a while. I might get to it as soon as this weekend.)
I don't know your experience or technical ability, but rebuilding a carburetor is easily achievable for the novice, assuming you have a few key items in place.
1. Clean workbench area with good lighting. I mean CLEAN. Sweep off your workbench area completely so you have uncluttered open space. Dust it. Lay down new shop towels over the whole area.
2. Have plenty of carburetor cleaner. I've only used spray cans, but I hear people have bought a gallon of cleaner to soak parts in. Both work.
3. Use compressed air to blow out all passages after soaking. Little cans of compressed air for dusting computers is not enough. If you don't have a compressor, buy a 2 gallon tank you can fill with a tire pump, something. You will not get good results otherwise.
4. Follow the directions and replace all the replaceable parts.
That's my 2₵ worth... Good luck!
(btw, a rebuild kit, some cleaner, and towels are a lot cheaper than swapping to a different carburetor)