Without crew, in absolute, I love the strenght and agility of the Tiger I E,

but I can quite retrieve this in the Tiger II
if, to soften its flaws, I take StéphanieW (sight), HannahK (cruising speed) and LisaE (turret speed),
I add to the heavy tank qualities the usual CristineF (perforant strenght) and MiaP (armor protection)
This crew have nice secondary skills too (moreover that I no longer use the radio specialist chick that I take in the Tiger I, so I like having 2x2 npc tanks replacement for the squad I lead by radio).

For the writer of a guide on another forum, his prefered tank is too the Tiger II, but with another crew:
he takes MartinaWolf (ammo time), PetraVogel (eyes), AnjaBusch (ammos), AndseaKlein (repare) and at last a one like me MiaPfeifer (armor).

He likes ammo number and repare, I prefer penetration and speed (to have some of the Tiger I E feeling).