Sil: Throne room help

[Exo]

So I'm currently at 950ft and I'm getting worried about not being able to kill Morgoth and clear the throne room since my dex is pretty low.

It's surprising how much harder the game gets when you decide to not use smithing with a stealthy archer. It almost feels like smithing is required to kill Morgoth in the end.
Most of the early game for me was just pure pacifist gameplay due to not having sprinting yet (which is surprisingly fun )

Anyways here is the char dump so you guys know what I have at the moment:

http://pastebin.com/LuG4K4Wu

Hopefully there is still a way to make this build throne-room-ready.
I've been spending a bunch of turns searching for a dex+2 ring but haven't had any luck so far.
I'm guessing that's what'll help the most at this point?

P.S.: I'm not using any armor or shield to keep the total weight below 10 lbs. It's not like I need them anyways since I shouldn't melee to begin with.