There are probably a lot more synergies and threats than I put but I don't want to find them and as you probably know, this build is about healing like she was meant to do. This game play is a bit different. Your attacks will mostly revolve around getting in many AA to heal and using empowered attacks to get some distance. Empowered attacks are greatly weaken but still do damage from the base AA as the normal AA will deal a lot of damage the empowered AA will just be a small empowerment and should still do Quite some damage though not as much as AP akali.
Abilities should just be used as mobility as the Ult will do basically zero damage compared to Ap Akali Ult. The Q should still be used though as it still scales a bit with AD. AD Also helps greatly in taking towers as AP Akali can't use her abilites on the tower.

This build is not as good as AP build in terms of damage but it makes up for it by the healing that is put into this build.

Btw this is my first guide and I like playing Akali. Also if things are wrong, i don't know what im talking about so u might be right