I also have a Husqvarna in 9.3x62. Just started load development. Was doing a ladder test and the three mildest loads had almost no velocity difference. They should be in the most accurate zone. Their velocity was 2218 give or take a fps. I will load some 3 shot test loads in this range and see how they come out. Accuracy is the most important thing for me so I’m not worried about the slow velocity. I put the data in an online computer and with mpbr it’s still a 242 yard rifle. Plenty good enough for hunting elk in the timber. Oh almost forgot, I’m shooting 250 grain TSX.
Have you measured the full seating depth? Hornady makes a pretty good tool, or you can do it the old fashioned way with a 5/16" dowel. Close the bolt, drop in the dowel, use an engineer pencil and hold on the dowel at the crown, then spin the dowel to make a circle. Take out the bolt, drop in a bullet, then put the dowel back in until it just touches the meplat. Take out your pencil again, twist the dowel. Measure the delta between the 2 lines. That's your true COAL.
Barnes #4 COAL of 3.205 for that 250 gr TSX is ridiculously short. At that length, I'd bet you have a jump of 0.3 or so. And I say that as a dude who followed the books on COAL for my 9.3x62 until the last couple months. I've been doing it the wrong way for about 6 or 7 years. Hornady, for 1 example, shows a COAL of 3.125 for their 286 gr bullet. That's just stupid. I never went that short, but I was still under 3.2.
3.291 is the SAAMI COAL, and almost none of the manuals specify that length, they're all shorter. I used to think hand loaders chasing 375H&H were daft. Until a couple months ago, that is. I wasn't really trying to make my 9.3 into a 375, it just happened to work that way when I did some honest testing.
The problem with that TSX is with MV of 2218, you're already below 2k fps by about 150 yards, assuming 1 mile altitude. That isn't a 250 yard load, it's a 150 yard load. Apart from Barnes' real DG caliber bullets, they aren't known to expand much, if at all, where impact velocity is below ~2k fps.
If you want to go light for caliber, I'd recommend either the 240 gr or 258 gr Shock Hammers. Shoot a 10 shot ladder, starting at about the middle of the range for your powder, set the bullets at no shorter than 3.3", move up in half grain increments. With the both of those Hammer bullets, you're going to find an accurate load north of 2500 fps, and with the 240 gr, probably north of 2600 fps.
If you use GRT, I can PM you my load data for the 258 gr Shock Hammers.