I have a 270 Sherman and SS both with 1:8 twist barrels that I shoot 170 el and 165 matrix from. My ss has a brux and Sherman has a lilja. My ss prefers matrix and the Sherman the Berger. I have been using 280 rem fireformed (norma) brass and mostly fed 210 gm primers. Cant remember for sure if I started a thread on 270 Sherman loads or not but a lot of my info can be found here
https://www.longrangehunting.com/threads/270-sherman-build-completed.152046/
The first few pages are mostly my learning curve coming out from a few years ago as that was the first wildcat I had done with more steps to make than the AI's i have.
I have done testing with different primers as well as a bunch of powders including n570 which is what you said you have.
I actually did my primer testing with the n570 and it was eye opening. My best es had the worst groups and worst es had best group! I didnt follow up with seating depth since I went back to rl 26 and 33.
My Sherman has a 28" barrel and with my current load (rl 33)with the 170 I'm getting 3030 fps and at top end for capacity and pressure.
Also a thing to note is the super long throat on mine. I seat my bullets Really long which gives me a bit more capacity. Pretty sure if it wasnt fir the long throat and drop tube I would not be able to get enough rl 33 in to work.
I've just started to play with imr 8133 and ramshot LRT which might be next choices if I didnt have n570. H1000 imr 7977 retumbo rl 23 and 26 all will work too. Never did try rl 22 or 25 due to temp problems but they should work also.
Might be able to load some up before I go shoot with elkaholic in the morning and take out to kill a rock.