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Asking for friend
Ok I'll bite... 9 challenges is hard. I understand the discouragement but it we l sounds like you have the perseverance you need to get it done. That's a hard-earned quality.
To get this done you either need to outheal the damage you take (with no armor) or not get hit to begin with.
For outhealing, mage will work but not until you can subclass warlock. It's tough to get to that point unless you have amazing weapons like corrupting or vampiric. You need something that hits hard and accurately. You can't afford to take extra hits.
For not getting hit, I prefer rogue because you can lean into evasion much more easily by augmenting the cloth armor for evasion because it works well with the free runner subclass. You have to be careful with your scrolls but at least 1 upgrade into cloth armor on rogue can increase evasion (str requirement on free runner) and gives stone of augmentation a boost as well. Freerunner with ring of sharpshooting and/or crossbow is amazing and can win you the game but it's always down to luck at times. A missed hit, an unseen evil eye, the wrong champion in the wrong place, all of those can still end your run. Sometimes you just have to run away rather than fighting.
Personally I prefer to not get hit but I've made both work. It's more about knowing how to use what you get rather than getting the exact thing you want.