Howdy Back theStang:
The symptoms you describe are typical of a vacuum leak or a burned valve(s). A vacuum gauge and a compression test would confirm or eliminate those as the cause of your engines symptoms.
When you say you have a "New" Autolite 1100 I'm confused. Autolite hasn't made new carbs since 1969. You probably mean you bought a rebuilt 1100 from someone. Are you sure that it is compatible with your distributor? Does it have a Spark Control Valve?
As to replacement carbs for your '67 200 with an automatic trans, that is a direct bolt-on, that is capable of accepting a turbo charge setup, iscompatible with a Load-o-Matic distributor, that is better than an Autolite 1100- I know of none. All possible are going to require linkage, fuel line and air cleaner adaptation and a distributor upgrade. The "Go-to" stock-type upgrade would be a Carter YF. They came in various sizes and cfms. IIWIYS, I be thinking of going to a Carter RBS. Both of these would require a distributor upgrade to a '68 and later system that would match the carbs ported vacuum system. The RBS is rated at 215 cfm and is shorter than other one barrel carbs to accomodate either a flow-through or pull-through turbo system.
Again, If I were in your shoes, I'd start with a vacuum gauge check. It is cheap and easy to do. IF it shows a strong, steady vacuum signal you've just eliminated the possibility of a vacuum leak and a burned valve leak. If it show a bouncing or weak vacuum reading, you will need to look further before blaming the carb.
It would sure help us in helping you diagnose if we knew more about your situation. Good luck and best wishes.
Adios, David