Not a Vette, but I jumped my old 90 Z24 once and I'll never do it again on a computerized car unless I had to. Needless to say, several hundred dollars later I had a new chip

. Since then I have considered batteries as a maintenance item and replace them every four years.
In an emergency, stranded, yes I would jump one. Even if you unhook it, some drain will occur.
Why is a trickle charger not an option? If you can't trickle, I would advise getting a nice battery charger and follow the instructions for an out-of-the-car charge before you start the car next spring. The one I have tells me instantly if the battery is dead and in a few minutes will tell me if it is chargeable. I use the lowest charge setting for 12-volts to keep the battery in good shape. Of course, I haven't used my charger since I sold my 71.
Good luck!