Bin cage ventilation

[BonnieBear27]

I have been planning on making a bin cage for a while and I bought a plastic bin a few days ago. Unfortunately it has a corrugated lid which I now realise makes it very difficult to fit wire mesh into without the risk of an escaped hamster.
I had planned on drilling some holes into the sides up at the top instead of making windows because the bin's depth is just under 15 inches and I want to put a deep layer of bedding into the cage which wouldn't leave a lot of room for a window.
I am wondering if drilling lots of holes into the lid would still provide enough ventilation and if not is there any other way to sort out the lid.
I would really appreciate any advice or tips