Although kreynolds already stated it, I will restate it so it won't get lost:
Your cleric can CDG with an Inflict spell, but not in the same round that he casts it. He could theoretically cast the spell and "hold the charge" a couple rounds if he knows he's getting into combat. In this case, he still would need to be within five feet of the victim to perform a CDG in a single round.
Of course, there's always haste. Adding that in would make the combo pretty deadly, although at a very high cost of spells. Using this many spells per opponent is likely to leave one high and dry later in the day.
Hmm. Thinking on it, I suggest potions of Haste and a wand of Inflict Light Wounds. If you don't have to have the Cleric deliver the CDG, a wand of Chill Touch would work nicely. You can get several attacks from one casting of Chill Touch.