Surface Interval's reply is very good. I agree that it is very important to know if this is happening only on a plane, versus how the boat sits in the water with no power. A few comments to add:
Yes, there is definitely places where water can hide that will not drain out the bilge. (It's not supposed to get under the floor, but it IS possible) If you are heavy on the PORT side, that would want to cause the boat to want to turn left, not right.
The Trim Tab being angled to the left, would make the boat want to turn right... The "left" tab would push the BACK of the drive to the right, which would be a right turn. But the "slightly left" tab does not sound like enough to match the hard-right steering you described...I would lean towards Surface Interval's explanation of tilt/trim angle.
If you have water under your floor on the PORT side, it could also be extreme AFT or FORWARD, which could lead you to trim in an unusual way. How does the boat sit (in the water) with no passengers? (seems like it would need to be hundreds of pounds of water to cause your symptoms, so weight alone does not seem like a likely explanation)
Is there any damage/twist to your skeg?
Can we assume you have looked at the bottom of your hull for damage? A serious crack in the bottom of the hull (port side) could allow water into the enclosed space under the floor which does not necessarily drain to the bilge.
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"Knot Easy" 2000 Horizon 240 Volvo 5.7GS /SX
tow: 2017 Honda PILOT EXL-AWD
prev. boats:
'87 Chaparral 198CXL 4.3 OMC Cobra
'69 Jetstar 16ft Ski Boat, 115hp Yamaha
'68 Aluminum Jon Boat, 3hp Sears
'64 Water Wings