Here’s my take on this. I’ll presume you’ll push on only one bracket and my recommendation is based around what would have the simplest strategy to get there so you only need to learn a few things.
Solo Shuffle: Hpal
You can get to 1950 just PVE healing and trading cooldowns. I face plenty of hpals without repentance selected and that don’t go for CC ever. It’s not rocket science to use repentance and spam that on the enemy healer when positioning allows, so if you do that you’ll make a really big impact.
If you have a healing background, picking up another healer might be easier than picking up a DPS. If you have no background, I would say that most healers have a higher skill floor than some DPS specs (not necessarily a lower ceiling, mind you).
Also healers get instant queues so you can just spam games to 1950.
Shuffle as a healer is the best way to get the enchant IMO. Blitz CR gains have been nerfed big time ever since its inception and it seems that playing low rated games feel pretty bad.
Blitz: Rogue, feral, boomy, hunter (BM/MM), death knight.
Though mistweavers are pretty good in Blitz, at lower ratings (1950 is “”“”““low””“”“”" due to massive blitz inflation from pre-nerf) you might not win because the DPS just isn’t there. Game modes are skewed towards you dying if you pick objectives, so even if you livelord you’ll eventually die (flag stacks, kotmogu damage orb, flag caps, etc.)
These other classes I mentioned are pretty good at killing things, sitting bases and/or capping bases and DKs have some death grip techs to turn Eye of the Storm maps around as well as gripping flag carriers. At lower ratings you will likely have the biggest impact on matches with these, and even at higher ratings as well.
Downside of blitz is though it may be “less stressful”, you will be sitting in queue significantly more than shuffle and you will gain less rating per win, so it’s an overall longer grind.