I made a first draft of a HoT fire burst autobomber inquis: https://pastebin.com/qNf88u5H

Build works by having storms gift shock corpses which keeps up HoT forever running through a map, and then fire burst is procced every 0.74 seconds (every 4-5 HoT procs). The fire burst pops a pack and it explodes with inpulsa/storms gift.

For extra damage or single target you can set up any skill in the body armor 6l, for instance I have flame surge or purifying flame currently set up. I am running EE so I dont use spell echo, since HoT will be proccing EE for our fire burst or main damage spell. Unlike a normal HoT build we dont need to crit on HoT, so we dont have to use a 3% spell crit helm or get a bunch of base crit.

On bosses I would use flame surge with WoC on arcanist brand for combustion/flammability/shocks to keep up HoT. Since HoT isnt a spell, it wont matter if you have added fire damage to spells for it to proc EE. HoT hits over 5 times per second, and our cast rate with flame surge is about 3/s. So there should be a HoT proc in between each of our hits. This means pretty much every hit will have the correct EE effect, save for the random times when fire burst procs in between.

The build doesn't have much in the way of defenses except for close to max block with rumis up and glancing blows (may drop this since we dont have any life on block), corrupted soul which was nerfed, elusive from withering step (since we wont be casting while running) and inquis pious path. I may spec out of block and glancing blows and opt for acrobatics/phase acro since we have elusive with withering step and extra effect from badge.

Pre-fire burst buff numbers are 1.7m average hit and 2.8m dps (0.4s cd), but this should be much different after the pob update (expecting 3x damage or more). Plus, this is all passive damage that will be dealt while you are casting a 6m+dps flame surge or other ability on bosses.

On bosses you just have to drop arcanist brand and use your main 6l skill, and HoT/fire burst will auto proc.

Another possibility is dropping all penetration / curses / ee and running inquis inevitable judgement, but i think the ee version is better. You could also drop EE and run a circle of anguish if you're rich and can get a power charge or good implicit one. Precursor rings are probably good as well. You also don't need badge, I just couldnt think of a good amulet to use since the level of all skill gems amulets dont affect fire burst.

Anyway, please let me know any updates I should make or suggestions you have!

Edit: Made a few changes: this version uses devouring diadem with MoM/EB/Immortal ambition since we are using pious path, which should give much better regen and defenses at the cost of a little damage, as well as give us the mana reservation for another aura (discipline or flesh and stone most likely) https://pastebin.com/J2WNMFyf