Are you sure that your amp is getting overheat? I know that for SS amp getting overheat isn't a great idea since paramenters of transistors will significantly change. I don't recall the part number, but if you do a thorough research on www.partsexpress.com you will find very inexpencive such named amplfier cooler that you can attach to the place where the output transistors are located. The noise will not be an issue in that case.
Happy listening!
Happy listening!