Against my better judgment, I will wade in.
What many here seem to be saying, and I am saying, is that any method which delivers the required temperature, humidity and motion will result in eggs that incubate to hatching.
There are thousands of ways one can try to accomplish that, but why? The results are less than positive, with low hatch rates and potential animal abuse as you lash a hen into position to turn her into a captive incubator. You are also creating a number of lives of which you know a large percentage are not going to make it and with at least some failing at a point where there is actual suffering on the part of the chicks who ultimately die.
To what purpose? To see if you can? People have been raising chickens for millennia. Most of the experiments have been done and the results found to be lacking. We live on the bleeding edge of human endeavour and best practices are just that - the BEST way we know to do a thing. Why try for less?
A cardboard box and a light bulb will do you far better than that and help to ensure there is no unnecessary suffering on the part of the animals - both the chicks and your bondage birds.