White to play and draw

By all means feel free to use an engine to help you, I'll post a PGN with the solution later, this is DIFFICULT even for engines.

White to play and draw:

This one is easy IF you can find the difficult first move (you may need some engine help).

Black doesn't have to take the bishop. He can move his around

You must not have seen the sidelines in the PGN where every move of Black's Bishop is addressed, and all of them lead to a draw. I am of course assuming you are talking about post #2 on Black's 4th move.

Here's a nice White to play and draw study that is rather difficult, this one used to stump engines but not so much any more:

Great endings - apart from their "engine status". Btw, the spectacular key move Qh3+! in post #2 is not unknown. It features in a famous 3-mover and it's an evergreen in the field of composition!

Interesting puzzle