One way might be to adapt your shooting methods to accommodate the long throat.
Begin by discarding the magazine feeding process, and hand feed each round in a single feed mode. This way, you can seat your bullets longer, with a better relationship to the lands.
I went to single feeding my bolt guns long ago. In many competitive disciplines, it's actually a requirement anyway.
With Semi's the option isn't usually available, BUT devices like single feed magazine followers and SLEDs (Single Loading Enhancement Devices) can provide a very similar capability. I use them in my ARs and even in my Garand under some circumstances. This allows my ARs to meet single feeding requirements in disciplines like F Class (F T/R).
Another approach that I use is a kinda Rube Goldberg approach to 'managing' neck tension. I back off the resizing die until a significant portion of the case neck toward the shoulder remains expanded. This reduces neck tension in a fairly controllable manner. More neck resized would equal more neck tension and vice-versa.
This method is complicated by issues like work hardening of the neck brass as the number of firings mounts up, making the brass stiffer and increasing neck tension, so whatever 'managing' is taking place is not such an absolute thing over a significant number of firings. Annealing can reduce or eliminate this hardening issue, but I don't do it myself.
You might think that this will make the cases harder to chamber, and after some firings, this becomes true, but not right away, I've found. So occasionally, you'll have to reset the die to bump the shoulder back. You can use the end of the slider on the dial caliper to measure the amount the top of the die protrudes above the die lock nut, in order to keep track of the die settings in the high and low settings. Unfortunately you have to resize the whole neck when bumping back the shoulder. One way to allow more firings between bumps is to avoid hotter loads, which stretch the brass more.
Another way of doing this is a technique I developed for reloading the .260. I kept another tool head (Dillon RL550b) set up with a .308 resizing die for use as a dedicated .260 bump die. It had the entire decapping stem removed. The .308 die would bump the .260' case's shoulder and fully resize the case sidewall while leaving the .260 case neck completely untouched. This can work because the .260 and the .308 share identical case dimensions from the shoulder on down.
FYI, the .338 Federal and/or the .358 Winchester are also based directly on the .308 case and could be used as a .308 bump die in the same manner as the .243, .260, and 7mm-08; but that's not really such a cheap solution.
Remember not to bump the shoulder back any more than is absolutely needed, or sidewall shortening will occur, leading to an increased tendency toward case head separations.
The best way to find the right shoulder bump setting is to gradually start the adjustment with an unresized case that's still long enough in the shoulder to be kinda hard to close the bolt on. Then lower the die in small increments until closing the bolt shows just a little bit of drag as opposed to no case at all in the chamber.
Sometimes the fired case will not have enough growth to allow such an adjustment. This may indicate that the bump adjustment is already too aggressive.
Some will say the ejector needs to be removed from the bolt in order to get the correct 'feel', but I never have, and my adjustments seem to work fine.
Greg