Rbernie;
Thermal protection isn't rocket science. If you put more, denser, or better yet more and denser, material between the heat source and what you want protected, you get better protection. Also, removing any high-energy fuel sources from the immediate area will make the increased protection easier to achieve.
The problem with trying to increase the thermal resistance of an existing container usually lies at the door. It's not too hard to surround the other five sides with cinder block, etc. But that leaves the door in it's original configuration, which may not be the best for your purposes. OTOH, if you do surround the current unit with cinder block, then only a little extra planning & material is required to put a door frame in the block room you've just built and attach an additional door that offers increased thermal resistance.
But, did you just spend more time, effort, and money than it would have cost to sell the current unit & buy a true safe? That's a question only you can answer. Another thought is if you are going to the trouble of building the little room to hold an RSC that you have, why not simply build a bigger room & put a vault door on it? I understand that that's not practical in all cases, but it may be in yours.
I've stated more than once on this site that sheet rock is a good flame barrier, but it's not dense enough to provide good thermal transfer resistance. Personally, I don't recommend going that route, although it's easier & cheaper than cinder block with concrete.
Feel free to PM me with any questions.
900F