mmm.... what's the second picture??? It's not showing up.
It may work but you have to think about humidity and temperature drops. You could try putting the towel in a box and putting the lamp kit over it, making/buying a water wiggler and a temp. meter with probe, and a humidity gauge and add a couple jars of warm water, but it may not work.
If you do figure something out, I would test some of your own eggs first instead of going and buying expensive eggs from online or something, just in case it doesn't work.
i would line the basket with tin foil instead of a towel. What will you use as a top? do you even need a top?LOL Lamp, what bulb watt are you using? How are you gonna track tepms and humidity? Looks like you could only hatch 3 eggs at a time. You would probally be able to use a sponge for humidity. Doesn't leave alot of room. You could use a box or styrofoam cooler(cheapy one)