The problem with long skinny barrels in a magnum caliber running supressed is you simply may not have enough meat to have proper thread diameter for the bore as well as a proper shoulder for a supressor. This is from J E Custom, on MINIMUM muzzle diameter by caliber for threading. Keep in mind, this is not including a shoulder at all, this is literally the minimum diameter that you could safely thread if you say, seated a brake on the muzzle -
.224 bore = .563 muzzle diameter
.244 bore = .584 muzzle diameter
.257 bore = .597 muzzle diameter
.264 bore = .604 muzzle diameter
.277 bore = .617 muzzle diameter
.284 bore = .624 muzzle diameter
.308 bore = .648 muzzle diameter
.323 bore = .663 muzzle diameter
.338 bore = .678 muzzle diameter
Now, find the largest thread you can do on that diameter, add in whatever the supressor manufacturers recommendation is for minimum shoulder, and you now have your minimum muzzle diameter. If your going with anything much over 6.5, your not going to have a skinny barrel, or a long barrel. Now you can order a custom contour, that has the last 2" of muzzle expand to proper diameter, but if you want a traditional contour barrel, it is a case of "you can't have your cake and eat it too". You have to compromise somewhere, whether it is barrel length (to get a larger diameter muzzle with the lighter contours), barrel contour, whether you go bigger or have a custom contour made, or go carbon fiber, which is a good way of getting your minimum diameter and still staying light.
We ran the numbers on a minimum barrel contour for a .270 Sherman, and we came up with a McGowen #3 contour @25", couldn't go much smaller than that.
So your options are, short barrel for proper diameter @ light contour, long barrel with heavy contour and deal with weight, custom contour with flared muzzle, or carbon fiber.
Now, there is one more option you may want to look into. LRI (Long Rifles Inc) offers a fluting service/pattern (pattern x) that takes off significant weight, I'll post a picture of what they did. If you wanted to look into that, here is what I would do. Figure out the weight of all the rest of your components, and see how much room you have left for the barrel. Then call LRI and see what is the largest contour barrel @26" that they could get into your requirements.
Hope this is helpful, and good luck.