This 3 builds are what i think to be the 3 best ways to build Li-Ming. I personally use the total noobs build and am barely dying while still dishing out a good amount of damage.

Level 1 Astral Presence i think is a no brainer, you never get out of mana even by spamming your skills.

Level 4 Dominance is an absolute must for me as it gets activated whenever an enemy dies, not only when you're giving the killing blow.

I love level 7 Calamity but be careful with it. I would use teleport to finish people off only so you're guaranteed to get some extra HP thanks to level 4 dominance and a reset and teleport to get back to safety.

Taking Wave Of Force at level 10 is ok since we're going for archon pure power, which let us have 2 ults.

Illusionist at level 13 is a pure whimp move.... Be brave, Run.... But, it also pair well with calamity.

Arcane Orbit level 16, because, you know, let them all jump in and brawl, we're good where we are...safe.

And finally, level 20 Archon: Pure Power. You said objective? What objective ? You mean the rubble over there ?