Buy 2 or 3 of these bikes. They are relatively inexpensive, but folders with gears and a rack none-the-less:

https://www.amazon.com/dp/B00Q7EE928...jaz10cnVl&th=1

Then buy what ever locks you want to try and give your idea of locking the bike up at the station a try. When the first one gets stolen get out the second one and try different locks. If you only had 2 bikes, order a third while you are on the second bike. That way when bike #2 gets stolen you have #3 ready to try.

As to how to get home when the bikes do disappear - not sure on that one, but at least having a back-up ready to go the next day would be good.

Best of luck.