I picked up some Lapua brass b/c it was on sale. I now have 200 pieces of it. I have about 150 pieces of the Win brass. Both work fine.
I have no experience with shooting any elk with a firearm. I was cursed by shooting them with a bow.
That said, there's no reason to shy away from a "better" bullet whether it is needed or not, regardless of positive testimony by those with good experience using cup/core bullets.
I didn't need a 110 TTSX in my 270 for antelope but I used it anyway with great results.
I have some 168 TTSX loaded up with Re19, a very stout charge, which was necessary for better accuracy. That is one thing I found, in general, with the Barnes bullets. They like to be loaded hot. I also have about 1000 180 grainers of the same type.
The accubond is a good bullet, but a lung hit with ANY decent elk bullet will produce varied outcomes from DRT to "he ran several hundred yards."
I prefer shoulder shots so I stick with a Barnes TSX or TTSX. Reloder 19 is an excellent choice, but so is Re22, especially with a 180 grain. I think you'll get the best velocity with the reloder powders. OH, I also have a bunch of 180 Partitions as you simply can't go wrong with this bullet on elk.