I don't know about that particular size TTSX but it will hold together. The question your really asking is if at 300 yards you have enough FPS to expand the bullet or otherwise it will just punch like a FMJ with no expansion possibly. The TTSX will hold together nearly 100%. I finally recovered one from a hog hunt in July that I need to weigh and see if I lost any copper. It doesn't look like it.
From my gun, they should be still cruising along right at 2,000 fps at 300 yards. Barnes says they should expand down to 1,900 fps so they should be good to go at that distance.
"Do I reload to shoot more, or do I shoot to reload more?" 30-378 Weatherby, .300 RUM, 7mm Rem Mag, 6.5 Creedmoor, .223/5.56, .375 H&H, .40 S&W, 10mm, .357 SIG