If all you're trying to do is park a bike in that gated area, you don't need a full space to park in...... you're actually better off jammed into a corner no one else can park in, surrounded by cars. Especially if you are allowed to put a chain around something solid in that area. If there is a spot that has the stanchions around it to keep trucks etc., from cutting too close to the elevators, etc., that's a good spot for you to park a bike under a generic cover.
I know $200/mo for a garage space sounds like a lot, but if that's something you could split with one or two other riders, it's nowhere near as much of hit. With some finesse, you can put as many as four bikes into one car parking space.
Insurance stats on what bikes are the most stolen, and which aren't can be very helpful in selecting what you personally want to ride. Nothing will stop a determined thief, but making your property less desirable than someone else's is a step towards keeping yours.