I've read mixed reviews on the K&H small animal heating pad, some really did love it, some said it didn't heat enough, others said it was too hot. Maybe inconsistent product? I saw a couple people say that they used it in a sterilite bin with no issues, but still you'd need to keep the room at at least 75F since it doesn't heat the whole cage. I decided not to do the heating pad, because I didn't want to risk it.
There are 151 reviews here, so maybe that will help.
You can make a heat lamp with CHE work in a sterilite bin, you just need to modify the top to have metal grate of some sort to be completely safe, or you could clamp it up above, but I don't trust that.
I'm going to modify my sterilite bin to have a heat lamp and CHE, but first I'm going to hit up home depot to look for a good metal grate option for the top of the cage. I'm thinking maybe one of those metal build a shelf pieces that are available in different sizes.