[Untamed]

Without flood insurance (which is a Federal program anyway) your insurance company won't do anything. In fact, some insurance companies do very little for basements anyway, claiming they aren't "living spaces" that are covered under the policy.

Best you can do is wait for the water to recede / get pumped out, then keep the water out with the pump till it stops raining, and begin the drying process. I suggest getting some box fans down there once you've dried it the best you can, open the basement windows if you have any, and keep the dry air circulating around down there. Just remember that drywall and floor tiles / carpeting traps moisture that will be there for a very long time unless all of that stuff is ripped out, dried, then replaced with new materials.

If you end up repainting walls / concrete floor, get a primer called "Killz". It's designed to kill and prevent mold and mildew.