Been attempting this even before the campaign.
BRD is top tier for 100 attempts, I think if any job will do it, it will be BRD, Mazurka is really powerful for it with capped spellcasting time reduction, on top of Marches. Can consistently get into the 80s, no Fillmode or anything like that. Not so much about lucking out as it is making sure you don't get screwed over completely. Every run there's a wrench thrown in there in some way or another that kills the run, bad jumps, atrocious lamp order, too many all enemies objectives, no songs/WSs/JAs, get hit with a sleepga, etc. In theory you should be able to do it, if you have an average of 6.5 floors per jump, you need to complete each floor in 2 minutes. Of course, some floors do take longer than that like all enemies, some spec enemies, but other floors should make up the time loss that are shorter than 2 minutes as well, like spec 1, registry or same time lamps. You'd probably want at least 1 higher end jump though to make up the differences and give you more time with Dvali Jonah. Don't need to luck sack it, just need the odds to be in your favor.
Consistency in Nyzul is asking for too much though I guess. Theres been runs where I get to the 50s/60s in 10 minutes but only make it to the 80s in the other 20 minutes. The mobs do get harder as floors go up, but that's not an issue, just Nyzul being Nyzul.
Definitely not impossible though