If there's no page then 404 or 410 is the reality for me. I use the 410 when I want people to know definitely - it's gone.
10 days? Thought it was 90. Option: search results and cache?
Any page still live - <meta name="robots" content="noarchive" />
In my case I find someone's linking to the page from somewhere. Some times, depending on where the link is coming from, I redirect the referer, to an index or some page with explanation.