My next idea would be a circular incubator about 10-12 inches deep. I am thinking a converted record turntable that the eggs lie on, a disc with egg shaped slots that sits midline with the eggs on the mat so when you turn the turntable the eggs and the disc stay in the same spot and turn on the mat. You can make a lever from the turntable to outside so you don't have to open the incubator and . When day 18 rolls around you just remove the disc like you would remove a record and let them hatch onto the rubber mat, easy to clean and as it's round like the dehydrator element it would get even heat distribution. If I can't find an old turntable (an old record player would have a rubber mat AND a clear lid) I may look for/make a 'lazy susan'
However that will be for the next design, i'm still trying to find chickens at the moment.