Having been through the basement flood renovation process twice, and currently on our third time, I would highly recommend you make sure the insurance company understands that the tank inhabitants need to be fully protected during renovation, or preferably in another room/floor closed off from the construction. The fumes from paint, dust from drywall, etc is a big concern and it would be a waste for them to temporarily move it. Provide written documentation of the risks of contamination in the event that there are problems. Photograph and document every item in the tank as well before anyone touches it.
For what it's worth, this most recent time we have been looking at replacing our basement flooring with wood plank vinyl tile that snaps into place. We checked it out at Home Depot and it was surprisingly nice. If it ever gets wet, you can unsnap it, dry everything out, and snap it back into place. If you ever have this kind of issue again it would mean not having to move the tank if it's not in an area that got wet.
I am so sorry you are dealing with this. It's horrible to be going through. Try to stay positive.