FWIW, I'm kinda storing a z28 long term, but probably not in ways that you are interested in. I do start it about once a month and have done this for 2 years. I take it out every 3-4 months just to keep everything with a nice coat of oil on it. The transmission (A4) shifts just like it did the day I drove it off the lot and everything (but the shocks) are quiet and function normally. A small amount of valve clatter is heard right at start up, but that is normal. I don't recommend you leave the t-tops (if equipped) off due to mice getting in. Mice and squirrels are about the biggest factor outside of father time. If they can get in, they will nest. If you park it in a public storage or similar, you should lay out some bait/poison and there is also a device that you can put under hood to scare away the rodents and keep them from nesting. Jacking up the car and removing the tires would keep them from being flat spotted. Tires go back to round after about 50 miles, but it doesn't do ball joints any good. You should also disconnect the battery and remove it (especially if it is an AC Delco) to keep it from leaking and corroding. Mine is nothing like yours which yours has value and history and mine is one of many black 00 Z28's but its nice to have them with low miles (46000 on mine, far from low) and if you are thinking about keeping the bird, I think you are making the right decision! Good luck!