I agree with the physics as you have presented it -- and thank you for your clear explanation -- but it is not in line with my experience, hence the post.
- Bill
It's definitely interesting.
From my noobish perspective, if I were in your shoes I'd ask someone to video me from the side to see if there's some trim I could improve (very likely true in my case) or some obvious streamlining thing.
I do amateur bicycle racing so I'm kinda a fiend on dialing in body position and streamlining of equipment. Small changes can yield massive gains in drag.
None of that should change your steady-state drifting speed though. If you're really drifting at different steady-state speed, it's gotta be that you're in a different current. I have no personal experience on that subject, but the comments above on distance from the bottom make a lot of sense...currents reduce as they get closer to the bottom.
Good luck...I look forward to experiencing such things myself. All my experience so far is in small and calm bodies of water.