Mark,
I watch the auctions for the 3 counties in the TB area every morning so I can add some insight. I am not familiar with the way your county runs it specifically, as not every Florida county is on the online auction system yet.
For the online auctions, any of them CAN be won by a third party bidder, but it really is a crapshoot. Here not many of the plantiffs will post a max bid, so there is no way of knowing what it will take to win the auction. and 95% is the approximate rate here as well for auctions won by plantiffs.
You are right, most of the judgments are far over what the property is truly worth/auctions are won for, but generally speaking most of the houses hitting foreclosure these days were purchased in the mid-to-late 2000s at the peak of the market and are no longer worth what they were then. That is why they are getting foreclosed on, they can't be sold for enough to cover the amount borrowed. These days most of the banks typically want to take back possession of the property because they think they can recover more of their money by taking the property back at auction and giving it to a local broker.
The ones that are winning auctions in my county are typically the bigger shops, institutional investors, etc. You tend to see the same few third party winners over and over again. They have access to do title searches for cheap/free so that isn't an issue, and sometimes they have relationships with these bigger banks who are doing the foreclosures so they can still get into the properties even if they were never listed with an agent. All this to say the odds are stacked against an individual investor to win many auctions on a one-off basis. Some of the third parties that buy on auctions here will simply stick the property back on MLS at a marked up price, so you could always reach out to one of the ones who you see buying a lot of properties in your area and see what they typically do with the property. You might be able to work with them directly and buy from them without them listing on MLS at all.
My suggestion would be to look through the upcoming auctions, target a few in your desired areas, and start doing the research. Do a drive-by, peek in the windows if it is unoccupied, run some comps, figure out your ARV and estimate what you think it will take to fix it up. You may then want to try and find a title company or another way you can do title searches for cheap (there are some companies that do a cheaper rate if you pre-pay for a certain amount of searches).
Hope that helps some.