I can give you some advise, though not exactly the advise you asked for in your post. I'm not able to recommend a shop; because, 1) I'm in Minnesota, and 2) I do all my own work. Several members here are in Washington.
The 60,000 miles or so on your Z just means no bottom-end work. It's the age of the car (24 years). Plus with the electrical gremlins and being in Michigan, I can almost guarantee that you have a multitude of wiring issues caused from sitting for a few years and
mice. You have old style fuel injectors (your car is actually a 1992); so, all six need to be replaced with new style, hardware, and connectors. You'll need to replace all the fuel lines, clamps, vacuum hoses, coolant hoses, cleaning of damn near every electrical connector (or replacing) and cleaning all the electrical grounds. You can probably count upon replacing the battery terminals and their wiring all the way to the starter. You'll need what is often referred to here as a 120K kit. That means timing belt, water pump, tensioner, cam seals, etc. Now assuming I am correct that you or the previous owner took it out for that one last nice cool crisp late fall drive, before putting it away for the winter in storage, the mice probably went for that warm spot down below the intake manifold (below the plenum) in the valley of the block between the heads. Their favorite thing to chew on appears to be the knock-sensor harness wiring. So, you can add that to the list along with new intake manifold gaskets at $55 each. Then you get into the "while we're in here phase" which entails replacing all the sensors (coolant temp, fuel temp, throttle position, etc.). At this point, it's time to think about suspension bushings (old, brittle, hard and cracked).
So, your interest in finding some shop well versed in Z work is a smart choice. Not that you asked, but you should count upon $3,489.52 in parts (I know). Though that includes Minnesota sales tax, and/or shipping, and pricing from 5 years ago (almost to the day). That does not include new tires, keeping in mind that tires more than 6 years old should be replaced. As for labor, I would image a reputable shop would want about $3,500 to $4,000 for the work. Thus, you'll have at a minimum $7,700 to say $8,700 (with new tires if you can still find 225/50 X 16 rubber, or else new wheels too) into it plus the cost of shipping your car.
Unfortunately after all that, you'll have a 24 year old 300ZX, assuming the interior and body (including the convertible's two "Z" brackets" and plastic windows) are near perfect, worth about $7,000 to $7,500. That's pretty much all the advise I can give you.
