Hades

I would recommend killing 3 birds with one stone here by doing this with the Champion of Elysium and The Family Secret achievements. Champion of Elysium as it will mean you’ll only need to allocate 10 heat to the room-to-room part of your run, and The Family Secret due to

Excluding Extreme Measures 3 (which is required for Champion of Elysium), I activated the following pacts for 16 Heat:
- Jury Summons 1
- Benefits Package 1
- Middle Management
- Underworld Customs
- Tight Deadline 1

I don’t remember what I activated for the last 2 Heat, though I do remember I didn’t go over 16, so it may have been Hard Labour 2.

Pact Reasoning
- Tight Deadline 1: 36 minutes should be more than enough time to work with. It should be noted that when the timer runs out, you will take 5 damage every second for the rest of the area. You could turn this up to Tight Deadline 2 or 3 if you’re confident you won’t have to deal with the poison-esque damage much, if at all.
- Underworld Customs: This pact imo is only really an issue in Tartarus as you run the risk of heading into Asphodel boon-less. If that happens, just reset the run.
- Middle Management: Mini-boss encounters aren’t too bad to begin with, and the fact you can avoid a good chunk of them makes this pact great in general.
- Benefits Package 1: I don’t really remember any of the perks being too bad; one I’d argue is even helpful as it dramatically reduces the health of the enemy that has the perk.
- Jury Summons 1: 20% more enemies is rather tame and simple to deal with.
- Hard Labour 2: You can activate God Mode to negate the 2nd variant of this pact entirety, and if substantially upgraded (i.e. dying 10 or so times), this pact can be completely negated, even Hard Labour 3 if you die an extra 10 times on top of the first 10.

While this is not a full guide, here is some helpful advice to save you some struggles.

This requires 16 heat from the pact of punishment to unlock, the first only needing 8. Spoilers below on how to make it easier at least a bit.

How to unlock this

To unlock this particular achievement, we need to complete a run with at least 8 heat. After completion, we have to go to the weapons room and collect the reward. After that achievement will unlock.

How to unlock this "effectively"

However, there is a method to unlock this in one run with something else, to do this "effectively" and get 4 achievements at once, we need to have less than 10 walkthroughs.

A tip on how to do 4 achievements at once:

1. We have passed successfully only 9 runes - you can check in administration.
2. We set Extreme Measures to level 4 which gives us 10 heats in total.
3. We add additional 6 heats to have level 16 - what we give, I leave for personal decision. It is worth to try few times.
4. We pass and...

During this run we should get two achievements. First after defeating Theseus & Asterius in Elysium, second after fight with Hades.

When we return, we go to the room with Skelly and receive 2 rewards:

Also, you can meet Erebus, which need 5/10/15 to enter, so there is chance, you also unlock this: