I do not post this very often because it is generally VERY unpopular and often ridiculed. On many hunting weight rifles, full length barrel bedding works just great. All of my Mannlicher full stocks are bedded all the way and they shoot significantly better after bedding than before, I have also had very good results bedding light weight and sporter contour barrels on my hunting rifles. I also own NULAs and can attest to the fact their full length bedded rifles shoot lights out. The single biggest improvement I have noticed is that the cold bore first shot, previously slightly fouled barrel, goes the same place as the next two. I also find they shoot different bullet weights far closer to the same POI and are not near as picky on bullet and velocity, in other words shoot a much wider variety of loads really well. I don't care if a hunting rifle starts to wander after 5 or ten shots, in my whole life I have never used more than two at distance on any game animals.
Try some three shoot groups with two or three different weights of bullets and pay attention to your cold bore first shots. Bed the barrel then shoot it again. I think you will be pleasantly surprised. Look forward to hearing your results.
Here is a 308 NULA, thin 21" Douglas fully bedded barrel, gun weighs 6 lbs 3 ounces including 3,5x18x44 scope, sling and 4 rounds in mag. This target was shot with 4 different loads, 2 different powders Varget and 4895 and two different bullets, 130 TSX and 150 Hornady. All shots fired fairly close together. all were shot as three shot groups. The last 3 furthest left and higher were shoot as the 10-12 rounds of pretty much continuous fire and you can start to see the group open up due to heat. Once the barrel cooled that load dropped down to 1/2" as well. Target squares are 1/2" per side, not the standard 1".