I don’t think you’d enjoy yourself in ANY forest if you’re deathly afraid of bugs and insects! Bali is not notorious for being overly populated with these creatures but they do have them, especially in the forests!
I’ve been four times and I’ve only ever seen roaches and mozzies! But then again, I’ve never done a forest trek!
Do visit bali, just don’t go into the forests unless you’re feeling very brave! Maybe just stick to the beaches etc.