Diabetes control for type twos is really all about the carbohydrate in the diet - trying to control it by being active isn't really all that effective.
Building muscle is probably a good thing, just for everyday life in general, but eating so your blood glucose is in safe limits is how many people achieve control.
You can eat any meat or fish, shellfish, eggs, cheese, low carb dairy - including the natural fat they might have, low carb veges and salad stuff, also berries, though it seems best to eat small amounts, with cream.
Eating higher carb foods in small amounts is probably not a good idea, as it restricts the calories and the nutrients.
Have you been tested for Type one?