If she wants to soak she will do it on her own.
With two lights running you'll drive every bit of moisture out of that tank in no time.
Short term: remove the light over the side without the UTH, and cover the screen top with something like foil or Glad Press n Seal, which will help keep heat and humidity in the tank. Just leave an opening for the other light. The warm side hide over the UTH does trap heat underneath of it to help your BP stay warm if she needs it. Also I hope you've got a thermostat regulating that UTH.
Long term: buy a proper reptile enclosure, you can often find them for way less than retail price on CL or your local FB reptile forums. Then you can either sell the tank, or use it to house a species that doesn't have to stay humid.
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