How to heat the air inside of a plastic tub

[mohawk]

Do you think a regular reptile heat lamp would work if I poked a ton of small holes into the lid below the lamp? Or maybe just cut one big hole and put mesh over it?

I have done this with a large rubbermaid tub, and it worked great. I cut a large round hole in the top
of the tub, and covered it with mesh.
I put the heat lamp (I used a CHE) on the mesh, and used a thermostat set at 80, with the thermostat probe
on the floor of the cool side. This keeps my ambient temp, perfect. The only drawback, is that the heat lamp
kills the humidity, but I just use a humid hide to solve that issue.