hot to the touch dont mean mobo is shot. It could be your cpu is not seated right or your heat sink isn't seated right. And obviously it would shut down without thermal compound or a heatsink because thats what cpus do. They get hot right when you put em on. Turn a systme with a cpu with no compound of h/s it'll be on all of 1-3 seconds
try hals guild fix's a lot of problems over at the mech.
And further more is the cpu is getting hot that means its running and electricty is moving threw it thus prooving it works. And if you hear no beep codes from the mobo its the mobo thats shot probably