Just my opinion (I drive my TR year-round), but I think you'll find it a lot easier and better to properly prepare the car & engine for storage, then leave it stored. Every time you start the engine, especially in cold weather, it makes all kinds of gunk inside the engine. Most of that can be driven off by getting the oil good and hot (which is practically impossible without driving the car), but not all of it. Better to not generate the gunk in the first place.
Drain the fuel & carb bowls. Remove the spark plugs and coat the cylinder walls with oil. ("Fogging oil" is best, but motor oil will do if you spin the engine to get everything coated with it.) Put the plugs back loosely (and leave the wires off so you don't forget) Plug the intake and exhaust so no critters can get inside. Disconnect the battery (or better yet, remove it to store in a warm place) and connect it to a good battery minder.
I've probably forgotten a few steps, but you get the idea. The marine folks have got this down to a fine art. And with the car properly stored, it doesn't matter if you are unable to visit it each month for whatever reason. Many years ago, a friend of mine went off to boot camp without "winterizing" his freshly rebuilt MGA. A few months later, he asked me to go start it for him. When I got there, the engine was already locked up from the rings rusting to the cylinder walls!
When I bought my previous TR3A, it also had severe damage in one cylinder from the same sort of thing; even here in California. It hadn't locked up (beyond what the starter could break loose), but you could see the ring of rust pits where the (now broken) piston rings had rusted to the cylinder wall.