[UncleScratchy]

Originally Posted by Argonian Thief

But actually now that I think of it, this is a bow we're talking about, a weapon, and never have I ever seen a weapon that doesn't runs out of enchantment. Sure you could get one from a shrine but I have gotten items from other shrines that still have limited enchantment. Now a bow with a special power or a special look, that is what you'll most likely find at a shrine that will have a bow to offer as a prize.

None of the daedric shrines offers a bow of any kind as a reward. You are correct in realizing that weapons cannot be embued with Constant Effect enchantments like you were able to in Morrowind.