Seems like a nice character.
I would say that I find your fighting a bit high, and that you should either focus on armor or dodging on gargoyles (15 in each should be less effective than 22 in one, on that race).
Also, I don't know whether you know : at around 20 in invocation, the zone affected by Qazlal's abilities become bigger (a 5x5 square without the corners).
If I were you, I would either try to level armor, dodge, or invoc to level ~22, then focus on another of those, depending on whether you feel like you need more offense or defense.
About playing with Qazlal, I found out that Ghouls are really nice with him (even in sprints). Play as a monk for early powerful melee with the unharmed claws (never wear gloves, they disable the claws), get armor skill up once you find something good to wear, focus on invo -> 10 when you find qazlal's altar. Once you have Invo, unarmed, and armor at ~10, get 20 on invo (for bigger zones and more mana), then back to defense with dodging (if medium armor) or armor (if chain/plate/dragon armor), then unarmed/fighter to get non-mana damage (and more HP).
Pretty straightforward (4.5 skills to increase at first), still open to possibilities (find a great artifact shield ? get some shields up ! find a penetration triple Xbow ? get 20 on Xbows ! Find a rod of ignition ? Get 15 evo ! otherwise ? get some spellcasting !)
PS: Oh didn't really see your question. If you've got some mana reserve (and/or magic potions), you may want to try the Vault. Quazlal's big ability is great on the entry committee (especially if you have a scroll of immolation to read first), if you can cast it 3-4 times.
If you have some rCorr/rMut/clarity(or potions of curing), Slime is easier than before (and Quaz' sinple ability is good on the Royal Jelly, as it will kill the spawnlings while you focus it on TRJ.
Abyssal is always possible, and it's one of my favorite third rune, but many players don't like the randomness of the Abyss.