If it is running all the time there is simply too much ground water - this is the problem I am having.If your pumps not running, but your wall is wet, perhaps the water is not reaching way down to your drain tile.

Usually it's because there is lake water or drinking water or groundwater degraded that can be contaminated by septic or your project. 

Prepares offers to purchase or purchase agreements, listing contracts, agency disclosures, real property residential and agricultural rental agreements, real property commercial rental agreements of one year or less, and groundwater hazard statements, including any modifications, amendments, or addendums to these specific documents.Iowa Code Section 543B.3.  

The furnace is hooked up in a dangerous way to an exterior above ground water tank being used as an oil tank.

Mold was caused by shallow groundwater/excessive rain last winter.

Once you know the reason(s), for the flooding, then you'll be able to figure out a solution.I'd also strongly suggest that you don't re-finish the basement until you've determined the cause of the flooding and fixed the problem (last thing you want is to re-finish the basement, and have it all ruined again by another flood).I'd suggest first watching some videos on youtube on flooding, drainage, groundwater, french drains, sump systems, water catchment systems, etc, just to give you a better understanding on what can cause flooding, and what types of fixes might work. 

If it's a simple issue or something where we don't require a formal write-up, it could be $125-200.Then I'll bring in the specialists to get bids.If the problem is solved by putting up beams (bowing walls, typically), I'll bring in my foundation company who specializes in putting up beams and installing drain tile (the bowing issue is generally related to too much ground water pressing against the foundation, and the long term fix is to keep the water out).

The fact you are in Florida with a much higher ground water temperature makes it a no brainer.

AZ water company is ground water wells.

Capture the water that is falling, and try to reintroduce it into the groundwater system through mother nature's own faculties.