The Lord of the Rings: Adventure Card Game - Definitive Edition

Edit 9/18: I am now 80% through this, and I've made some changes, so edits below

The main thing is, you want to induce the computer to run head first into your guys. As such, 2 of the 3 heroes I run are Sam and Fredegar, rounding out with Frodo to maximize hobbit-ness.

The quest I like to target is the Mirror of Galadrial, as it is only one encounter long, counts as finishing a quest, and has several random elements to it, so it becomes vaguely more interesting than doing a tutorial 1000 times.

The deck I run is this:
1 Barliman Butterbean
1 Bilbo's Cloak
2 Brandybuck Sneak
2 Ever Vigilant
2 Frodo's Intuition
2 Gaining Strength
2 Gandalf
2 Greenwood Defender
2 Hobbit Champion
2 Knight of the White Tower
2 Narya
1 Raise The Shire
2 Star Brooch
1 Sting
2 Timely Rescue
2 Well Prepared
2 Zigil Miner

(Note: If you have Second Breakfast unlocked, you could replace the Ever Vigilant with those.)

Our goal in each game is:
Have Sam defend early on, coupled with Fred's power making Sam defend again. You can have Sam killed quickly this way from defending. Then, you can do the same to Frodo. For the most part, the deck is built to be a functional deck that would work in most quests, so it's not a one trick pony. You can build fate to grab the 3 random cards at 3/6/9, but that's far from a requirement. Basically stall for time or do other things you felt like doing on that board.

Our end game, after we close out the 12 point objective, a villain will appear, which counts as a boss for our Gandalf purposes. You want to land a Gandalf (and do not kill the villain with the 3 points of coming-into-play damage, you want it on the attack) and there are Narya's in case you can't do it the first turn.

Doing all this will net you the following:
*Progress on You Cannot Pass if you kill the villain with Gandalf. Which you are guaranteed 1 a run maybe more if the stars align (hasn't happened yet, but this is the rando-level).
*Progress on Suicidal and its junior achievements at 10 & 50. Just throw your hobbit friends in harm's way. Fred's kind of a jerk that way.
*Progress on The Greatest Adventure, faster than any other option since this quest is one encounter long.
*Vague progress on Executioner, any quest will do that in theory and its junior achievement at 10000.
*Progress on Profligate, as any quest will do.
*Progress on Stalker, as any quest will do, and its junior achievement at 1000.
*Progress on Phial of Galadriel, as you'll be using Fred to re-block. (Side note: can also be used on guard of white tower, which normally can't defend!)
*Progress towards Stridal, which will net 1 per run which isn't much, but hey, while we're here...
*And you might kill some spiders & orcs along the way as the enemies are random, so that'll help those achievements too.

A BIG OLE' HEALTHY REMINDER:
Per a lovely thread in the forums, if your achievement tracking seems to be gummed down and not responding, redoing the tutorial quests, especially #3 seems to jog the memory of what's going on. I originally believed it to be necessary to do every time you log in, but now I believe it's just there as a reset button if the drain gets clogged.