I don't know how to do that, but, as I like finding other ways, here's what I'd do:
Instead of having 10 services, each checking 1 service, I would write a little script that would check your 10 servers, and report an error only if there are 3 or more servers down...
that's just an idea; you can modify it to better suit your needs, like having a warning alarm if there are 1 or 2 servers down, and critical if more; or you can do a lot of others things like that
Hope this will help you;
btw: if you find a better way, plz, share it; it might also help me ^^