Really, it's about that simple. Put down some saran wrap in whatever you're gonna dye in, crinkle it up some, pour in some dye(NOT TOO MUCH), and put the disc in. You can push it in, or just let it sit on the saran wrap. Then DON'T MESS WITH IT! Don't try to redo it if it "feels wrong" after a few seconds/ minutes. Just think of putting the disc in the dye as the point of no return -- walk away, take an Ambien, sleep soundly, and wake up in 8 hours and take out the disc. Rinse IMMEDIATELY. Viola!
Knowing you're doing this without a stove, you can still put a great logo/ design on the negative space of the disc by lasking it with your contact paper or vinyl. I didn't need any heat to do the NIN dye:viewtopic.php?f=14&t=13624
Post if you try it, and GOOD LUCK! Don't overthink it, just go for it.