Battleground Blitz is much more fun than Solo Shuffle
Battleground Blitz contains 90% of Solo Shuffle's competitivity, but with 1000% less stress-inducing factors, and that is both as a healer and a DPS.
I play one match of Solo Shuffle and am already 100% mentally saturated. Anything more than that is pretty much guaranteed to not be fun, even major wins (5-1, 6-0 and such).
Battleground Blitz, once you get past a certain rating, is almost always competitive (i.e. very rarely you stomp or get stomped on) and much more slower paced, which actually allows you to enjoy it instead of simply giving a major dopamine rush along with a cortisol spike and making you feel like shit afterwards.