Any Recommendations on a Reliable and Reputable Mechanic?

None of those are beyond a specialty shop to look at and at least price. If you want some extra opinions, take the car home and then get back to us with what they say.
With what you describe- I’d figure on a carb rebuild, full time up including setting the valves, and a full exhaust. Depending on the parts choices and the shops approach, probably under $1k to have it all done.