There are different 060 cpus i had one on one of my BPPC cards that would feel as hot as a 040 i diddent use a heatsink on it and it runned for years and i imagine it does still. I gues some cpu revisions are hotter than others... You could chage to a newer better mask and hence get a colder card but i would just slap a heatsink on it as it is the best way to lead away heat anyways ...
You do NOT need a tower on your 060 it will ruin half the feeling .. just find a small heatsink and if needed fan and you will be ok ... You may even cut a hole in the trapdoor and let the heatsink out there ...