Don't fool yourself into thinking your high dollar tool box isn't able to be broken into.
I thought this ( was the reason I bought a high dollar box to begin with ) and I was WAY wrong, they pried the drawers open ( box was locked) all 15 of them, used tools from a co-workers UNLOCKED box to pry mine open.
I lost $4500 worth of tools 2 years ago, just before Christmas, I was eligeble for the company tool insurance the following Friday, I had gotten the inventory sheet and info the night before. So, I got screwed HARD both ways.
DO NOT leave any tool bags, or totes anywhere near, I had a bag I used to tote stuff to and from the house, they used that and my jacket I had left as well as the other guys sports duffle he left to haul our stuff outta the shop. together we lost about $10k worth of stuff.
They cherry picked us, took all the Snappy, Matco, MAC, ******** stuff, left off brand and Craftsman ( full sets of wrenches in racks, and they left them) Got all the air tools and electronic diag stuff and a lot of my specialty fastener tools.
Honestly, the only way you may have a chance is to build a cage around the box that they have to cut thru first. If they really have to work for it, they'll move on to easier pickins.