Thermite and Ice Rocket

(Wrote an email as well before discovering this website. Whoops.) Knowing the violently explosive power of thermite burning on ice from Mythbusters, I was wondering if it's possible to control that reaction in some way to power a rocket with thermite and ice (or some similar combination involving thermite) to cover a reasonable distance, (hopefully) without destroying the rocket. Would be awesome to see just the bright flames spewing out the back of a rocket, even better to see it take off into the sky, and it's also a neat challenge both in figuring out how to control the reaction well enough to make it directional and less kablooey-y, and the engineering of a rocket body that won't melt from the heat of the thermite and is capable of delivering the fuel in a manner that prevents it from being spent all at once! (p.s.-might want to check this category's description, not sure if the "togeather" is intentional)