Hi there. I have a 200 Mercury Verado Pro on a 24’ SSBXP with just the SPS hull. Thus, you should be able to get above me with your motor. Once you get more data, post it. RPM/Weight-load/Trim/Conditions can be helpful.
If I am at a full tank of gas (only a 30 gallon tank on my SPS), 2-3 people, I am about 38-40 mph on gps at WOT. I have a 200 Verado Pro, so I also have the benefit of a I6 + supercharger on my motor. Those are going to boost my performance compared to a normal I4 200HP. You are going to be slightly heavier than me with ESP + more gas + 1’ length. That said, you should still be above me in speed if you want to be.
Starters:
1) A four blade prop is going to be better hole shot, but also result in lower top end WOT speed. That is part of your issue. If that is what you value, keep a four blade. If you don’t need the BEST hole shot, switch to a 3 blade for better top end speed at WOT. Depends on what you want to maximize. You have a 250HP motor, so really you are going to be fine on either end of that spectrum once properly propped up. Which takes me to...
2) IF its a 14.5p prop, that’s more ideal for a f200. I have a 16p Enertia on my 200HP Verado Pro, and I think I could still tweak to a 17p. I think you NEED to have a 16-17p range myself (maybe more, but don’t know). A 14.5 SEEMS UNDER-pitched for a prop on your F250 on an S-series. In looking up your RPM range at WOT it is 5000-6000 rpm per this source:
https://www.rubexprops.com/boat-propellers/rpm-range/?make=Yamaha
The ballpark is you drop about 200 rpm per +1 up in pitch you go. or add 200 rpm per -1 down in pitch you go. If you are pushing 6000rpm now, you got some room to play with pitch. I’d start at about a 16p if I were you for my first change up test run...maybe even a 17p.
3) As you eluded to, playing with trim, and being on calmer water will go a long way on testing out where things are at. I wouldn’t bother recording numbers unless on a decent and calm day to get the most accurate speed for dialing it in a little bit more.
4) Check out both the Yamaha and Mercury online prop selectors. You can data enter ALL your boat information to get somewhat nice ballpark prop recommendations. You can also modify those recommendations in the process for your intended use of the boat:
https://www.mercurymarine.com/en/us/propellers/selector/#!/step-one
http://www.yamahapropselector.com/propSelector/web/
I am 99% sure you are decently under-propped. I think you need a +2-3 pitches in prop size.
After all of this, I think you will see a jump in gps speed for sure. There could be some tweaking to do with the hole mount on your motor too, but honestly, I think your #1 issue is the pitch size of your prop. Perhaps prop type to, as that makes a difference (3 or 4 blade, curve of the cup, etc...)
Hope this helps, and good luck. I look forward to hearing about how it goes. It might be a hassle right now. However, once you get it dialed in for your intended use and expectations, you will be good to go long term.