The .350 Legend might be new, but guys have been shooting similar cartridges for a long time.
The 350 will shoot flatter than the 44, but both will drop deer to 250yrds. Ammo for the 44 is cheaper and more prevalent.
So ultimately, flip a coin.
Personally, I’d pick up the 77/44, but I have a pretty extreme bias, favoring Ruger’s and favoring 44magnums.