Ok - Reaper does all that, and rather a lot more I think, so 'yes' I do have one and I think I have about 100+ plugins of various sorts most of which I don't use. Give Reaper a go - it's a free evaluation (which never expires with full functionality) but one which I have now paid for because it is worth it. Good enough to be treated seriously by magazines such as Sound on Sound.

It has an evaluation of one amazing plug called Spectro by Stilwell audio which is an amazing thing (to me anyway). Incredibly easy to use and really precise. I had a funny little squeak somewhere on a recording and it was incredibly easy to find it and then exclude it