There is a program called "Exiftool" which can do this but the procedure, in DOS, is complicated. There is also a program called "Exiftool GUI" which allows at least some of these things to be done in Windows. It takes a little installation, but I just tried it, and it allows a certain number of EXIF lines to be edited with dummy information. You can replace shutter speed, aperture, ISO, etc. with random integers like "1" and you can replace camera brand, model, copyright and artist info with "X" or the like. At least it works for Nikon NEF files.
There may be other programs that allow editing, but ExiftoolGUI seems like the easiest one. It also saves the unedited original as a separate file, in case you accidentally edit your originals.
I don't think there are any programs that allow you to strip all the metadata from a Raw file, and I don't know of any that allow you to edit all the information, you can do the ones that you've noted are important.
It's been some time since I downloaded this, so can't recall where I found it, but a web search should find it, and I think there's a site with full instructions, too.
e.t.a. I forgot to mention that in this program, you can also add fields to the workspace (the part you can edit in) if they are not there by default. So for example, if you have a DX camera and one of the fields is the equivalent focal length in 35 mm., you can edit that out.