I ain't no thermal physicist or Heatsink Scientist, but... 😀
It may work, it really depends on how efficient that particular heatsink is. It is likely that that Alpha will keep your cpu cool enough not to burn it out, but it may not keep it cool enough to prevent heat related problems such as lockups, reboots, etc. For a low noise system, you could likely just put a low rpm fan on that heatsink.
There was a heatsink made for doing just what you want, it was/is made by a Korean company, Zalman(sp). There was a recent thread about this hs, so do a search. It's kinda pricey, but it's kinda cool(no pun) looking too.