OK, I'll play. First off, you absolutely need a 24" barrel, unless, of course, you can settle for a longer barrel and can live with 26" or more. We all know darn well that the 264 Winchester magnum is too much of a good thing, vastly over-rated, it basically duplicated the already great 270 Winchester in barrels of the same length, and with much shorter barrel life.
I have been interested in the 6.5mm cartridges for while now. The current trend, that revolves around the 6.5 Creedmoor is actually quite sensible, as are it's closest rivals, that is, the 260 Remington, and perhaps best of all, the 6.5x55mm Swede.
If you want more performance than these can offer, you have to be willing to sacrifice some barrel life. For a target rifle, it's not worth it. For a hunting rifle, it's another story, and I think that the trade-off may be worth it to a point. And at the point where it's worth it on one side of the line, and not worth it on the other side of the line, well, it seems to me, that the 6.5mm cartridges that are closest on the edge of being worth it, are those that have the approximate capacity of the 30-'06. Thus, the 6.5-06 is perfect.
So also, except for one consideration, are a few others, notably, the 6.5-284 Norma, and for those that may be too young to remember, the vastly under rated, 6.5mm Remington Magnum. Both if these will work in a shorter action than the 6.5-06, if it matters to you. But, the opportunity that continually presents itself to the 6.5-06 shooter, i.e., to resize commonly available, often, free, once fired 30-'06 brass, why, it must not be underestimated, in my book.
So there, I say it, the 6.5mm-06 is the best bet, as far as the OP was asking about, and, again, there is that line.... and to go with the AI verison, would be on the wrong side.
And, within the context of this thread, the closest comparison, a rival, yet in a different caliber is the 270 Winchester. Webberwood you are asking, to match what my 24" barreled model 70 Winchester, in 270, routinely does. I expect 3,100 fps from 140 grain bullets. I've had them up to 3,285fps, admittedly with shorter brass life. If you have a long-action and simply must have a 6.5, then you know what I said. Otherwise, just be happy with the Swede, it's one of the nearly perfect cartridges ever.
Remember, it's all just numbers; why care so much about numbers?