Are you sure you can buy treasuries in your own name in a margin account at most brokers?So first issue, SIPC insurance limits, is relatively easy. Just buy Treasuries in your name, you take a 5% haircut on buying power, and if they go under you just retrieve your Treasury and move on in a matter of days. On the margin rates, just sell a wide SPX box to get better lending rates than any broker, and you can do it at any broker.
I would be surprised if there are any brokers who wouldn't let you do it. It's a common strategy for exactly that reason and some entities are required by their bylaws to either do that or have insurance coverage that would actually cover 100% of their loss which as you all did a good job of pointing out none of the current products do given the aggregate loss limit.