I did a lot of Antiquarian runs for money (sacrificial lambs they were) - you get much more money when you have the Antiquarian selected for opening treasures and rewards. That gave me the money to have roughly 3 teams running through dungeons on a cycle (for healing, clearing negatives, and then running the dungeon) with multiple max upgrades. Seriously. Do Antiquarian runs. I would regularly walk out of a dungeon with 20k+ in items and gold.
Don't be afraid to give up the mission if you have party members you want to save. Stress can be healed. Negative traits and quirks can be fixed (with the right amount of money). Staying until everyone wipes is only good in some cases (like if you're trying to clear space in the barracks).
If I wasn't doing a run for the money/artifacts/antiques/items I would regularly not open any containers. It's not worth the chances of a trap vs items when I'm on a run to complete the area. Seriously. Some of that shit is nasty and will kill a run.
Parties (as I remember - it's been a week or so)
Primary party 1: Plague Doctor, Vestal, Bounty Hunter and Crusader (in that order). Solid sustainability and defense (Crusader and Healer), mostly above average damage, lots of status effects (Plague Doc). You need them. Bounty Hunter for "Come Hither" to drag enemies out of the back row reliably. I would sub out the Plague Doc for Houndmaster's on occasion.
Primary Party 2: Abomination with a Hellion, Hound Master and something else - Plague Doc maybe? I might have cycled out the last slot. It was my "Go in and facecheck the challenge level of the dungeon" party - stupidly, grossly powerful but there was so little healing it tended to follow the "It's better to burn out than fade away" motto. I frequently had to replace multiple members of this party. No Crusaders or Vestals because of the Abomination, but he more than made up for it. So. Much. Damage. Hell to keep alive, but worth it. So worth it. Hellions as well.
Primary Party 3: This is the one that I barely remember. Crusader, Hellion, Highwayman, Houndmaster maybe - lots of damage, less crazy shit like party 2. Harder to get through some things - they couldn't power through like Party 2, and didn't have all the sustain that party 1 did.
I upgraded my Stagecoach first in a lot of things - more hero space, more heroes coming in from the Coach the works. Having the choice to bring people in as needed really alleviates a lot of problems, since you can lose people without worrying about refilling their spot.
The next to get upgraded were the Tavern and Abbey followed by the Sanitarium. The ability to get rid of Stress and negative traits/quirks was essential to my winning. A couple of those stack up wrong and you're frickin' screwed for ever using that hero again. If that happened, and I didn't care, they became Antiquarian run fodder. If I did care, they would end up in the Sanitarium until their heads were fixed.
Then went the Blacksmith, Guild and Survivalist in that order - hero upgrades. Nomads were almost a non factor - I think I got a couple of badass things from them but nothing that I remember clearly.
Overall, it might end up back on my iPad. I'm wondering if I can do a full game with no Vestals or Crusaders and have a reasonable chance of completing it.