I am suggesting some changes to org-at-property-p (using
org-get-property-block) and making related procedures take advantage of
it.

* org.el (org-at-property-p): Check if we are inside a property
  drawer not just any drawer.

  (org-set-property, org-delete-property): When cursor is on a
  property key value pair do not prompt for property name instead
  use name at cursor.

(COMMENT: I did not adapt the delete all properties function to use
property under cursor directly because maybe you need to think twice
before that kind of operation.)
  
  (org-ctrl-c-ctrl-c): Still do org-property-action when cursor is
  on the first line of a property drawer.
  (org-property-end-re): Spell check.


  
I have set up a git-repository with a branch named 'mfo' with these
changes. If you like it please use it in org-mode and try to pull the
changes from

git://git.abc.se/mfo/git/org-mode

branch 'mfo'. I am new to this so I am not sure if it works to pull. I
have tried it myself but I am a little confused over the setup with
--bare repository, HEADs, branches and all.

Therefore I also attach the patch.