Directions for manually removing searchv can be found
here.
Did you update AdAware before you ran it? Spyware writers are like virus writers...constantly re-writing/changing/tweaking their malware to try to evade programs like AdAware so updating AdAware is crucial.
I've never used Pest Patrol, which is referred to on the above page. You might consider getting
Spybot, which I use in conjuction with AdAware.
Between the two of them, pretty much all spyware (except CoolWebSearch, which you've already eliminated with CWShredder) will be removed.