With gnu find you can use regex, which (unlike -name) match the entire path:
find . -regex '.*/foo/[^/]*.doc'
To just count the number of files:
find . -regex '.*/foo/[^/]*.doc' -printf '%i\n' | wc -l
(The %i format code causes find to print the inode number instead of the filename; unlike the filename, the inode number is guaranteed to not have characters like a newline, so counting is more reliable. Thanks to @tripleee for the suggestion.)
I don’t know if that will work on OSX, though.