2350 fps is probably a more realistic velocity for a tuned load with a 250 gr bullet in a .308 Win case. The first question I would ask is what would you be trying to do with it and why do you think the 250 gr A-tip would be the optimal choice? As an exercise, you can run the numbers in a ballistic calculator such as JBM for heavy .308 bullets in tuned loads of of known velocity. For example, reasonable velocity estimates for tuned loads from a 30" barrel with the 200.20X, 215 Hybrid, and 230 Hybrid bullets over Varget in Palma grass are 2650, 2550, and 2450 fps, respectively. Using box BC G7 values of 0.328, 0.354, and 0.368, with atmospherics of 70 degrees F, 1000 ft elevation, 60% humidity, and 29.94" Hg, JBM wind drift estimates for a full-value 10 mph wind are:
600 yd
200.20X = 3.3 MOA
215 Hybrid =3.2 MOA
230 Hybrid = 3.3 MOA
250 A-Tip = 2.8 MOA
1000 yd
200.20X = 6.2 MOA
215 Hybrid = 6.0 MOA
230 Hybrid = 6.1 MOA
250 A-Tip = 5.1 MOA
Someone may claim to be able to obtain more velocity for one these bullets. Yes - that's certainly possible, but the velocities values given are reasonable values for tuned loads that have actually been used in F-TR competitions, and any increases in velocity aren't likely going to be huge.
So what does this exercise really tell you? My first take away is that neither the 215 or 230 Hybrids are going to be a huge advantage in wind deflection in a .308 Win F-TR rifle over the 200.20X bullet. First and foremost, I don't think the .308 Win case has sufficient boiler room to push those bullets at velocities that will take full advantage of their BCs. In addition, even the very modest gain in terms of decreased wind deflection exhibited by the 215 Hybrid over the 200.20X assumes they can be loaded and fired with equal precision. That may or may not be the case. I know a few F-TR shooters that tried the 215s and went back to the 200.20Xs due to vertical issues. Whether those issues were caused by recoil management (gun handling) problems with the heavier bullet, or arose from marginal stability at the relatively low velocity obtained from a .308 cartridge doesn't really matter. Dropped points are dropped points, so a slight increase in wind resistance may not always overcome the other problems that may arise when switching to a heavier bullet. I think it's pretty fair to state that 215+ gr bullets in the .308 Win are not for everyone.
Clearly there are important questions to answer before going down this path. Few people will already have a .308 set up optimally for the 250 A-tips. I'm guessing they would require somewhere in the neighborhood of a 9-twist barrel (certainly faster than a 10-twist) to achieve the full intrinsic BC. They also probably need something like a 0.300" freebore (or thereabouts), meaning a rifle set up to take advantage of their high BC would likely not be realistically usable with any other lighter bullet/powder combination. So such a setup would necessarily warrant a purpose-built barrel.
So we're talking about a custom barrel setup, and a new finishing reamer (or Uni-throater), and really no idea how it would actually shoot because that's pretty much uncharted territory. I'm not saying there isn't anyone that could get it to work, but I've recently been down the experimental uber-high BC bullet route, and I know from experience that it can turn into a real black hole. If you want to give the 250s a go in the .308, I think it'd be an awesome experiment to try and my hat's off to you. Just be aware at the start of what you might be getting into and make an informed decision of whether it's worth the effort.