"Bigfoot" option is available on both 2 stroke and 4 stroke engines. If this is the 2 stroke, you're likely looking for something that will turn closer to 6k. If it's the 4 stroke, thinking you'll find 5500 closer to the sweet spot. The 5500 target will give you a quieter ride while providing nearly identical performance as it would at 6k
Blade style and shape have a LOT to do with this, and is likely the biggest reason for your results. If you want predictable results based on something you have, you need to stay with similar style props.
Struggling with the comment regarding planing "the four blade the boat will get on plane, with the three blade it will not". You're saying the 3 blade will go 17mph and the boat is not on plane yet? That would be a first for me...
Throw that planing fin away. It's just creating drag and/or covering up a setup mistake. It should not be necessary, especially when seeking performance - in my experience anyway.
If your 4 blade 13.8x10 turned 6200, that's over, but an excellent reference point for selecting the prop to put you int the range you're looking for. It's actually pretty darn close! That's actually the size I would have gone for when making a 3 to 4 blade switch.
Anyway, the 10" was close, so jumping all the way up to a 13" gave predictable results - WAY too big a jump when you are only 200rpm or so over target.
My vote/best GUESS, I'm with the rep at Michigan Wheel. 11" for a target of something just under 6k, or maybe the 12" for something a little more conservative (maybe just over 5k) - and this is assuming you stay with the same series of prop as the 13.8x10 that's turning 6200. That's important when looking for predictable results.