...but I like drawing EVEN MORE.

How about with commas?

I like to imagine that I'm a great listener but, even more, I like to imagine other people imagining that I'm a great listener.

I like Mike when he is sincere and solemn, but even more I like it when his face lights up and he sighs and shakes his head with wonder. (no extra comma here)

I don’t know. Both those examples sound contrived to me.

And even if appears in some books, I don’t think it’s the right thing to teach on here. The more natural pattern is LIKE [something] EVEN MORE.

ОК, исправил

Heart from me)))