There has to be plenty of info on carb swapping for Sammy's here. Some guys prefer to swap the whole intake for a "Myside" system from ZOR, which replaces the trouble prone stocker, and / or Weber carb with a new intake manifold that utilizes a CV carb commonly sourced from a late model Harley Davidson motorcycle. Great reports of driveability and power increases with the appropriate exhaust. Might want to look into that.
I know there are sammy Guru's here, (Skyhighranger where are you?) who can probably set you up with a replacement carb too, but you'll still need to figure out the vacuume lines, the electrical hookups, etc. Could also be coupled with a fuel pressure ( pump) problem. For that may I suggest getting a GOOD manual, preferably a Suzuki Factory Service manual, which can be found on ebay or other sites, or searching ACK's facs. I'm sure the diagrams are probably here in the archives, or posts too. Good luck, welcome aboard!