I just noticed that your "redneck" light source is LED.

Not hot at all. I have a similar set up.

But I used a heat source the first time. Melted a hole in the lid FAST! It now has a small piece of black electrical tape covering it. After a while you will notice that the small net is not draining water like it did when new. I spray a household kitchen cleaner on it and the tray at this point. Let it sit for a few minutes and rinse well. My cleaner has bleach in it. I then let them air dry completely. I have to do this every so often to keep them draining like new. I have two dishes so there are new BBS always hatching

I also feed the BBS to my dendro. I use a brush I bought in the bird feeder section at home depot to clean the tray. It is soft, and has numerous "arms" like material. Reminds me of a baby bottle cleaner, only works better.
I know there are other methods to hatch BBS. But the dish works best for me. Mainly it is the ease that I like. And since my two mandarins eat live black worms, pods and now frozen food, it is enough. I do not feed them frozen food often. I squirt a little to them when I feed the other fish. But I do not believe it is nearly nutritional enough for them.
The above information are only suggestions.
Wishing you luck