If you can find a way to understand Druidic (fairly easy with magic), they you simply need a reason not to speak it.
A good option here is for the NPC to simply pass as mute. Then you're only tripped up by writing.
I would suggest finding a some way to communicate without speaking.
My preference would be to have custom magic item made and learn Drow Sign language.
Continuous ring of Nystul's Magical Aura & Comprehend Languages is safely under 10k gold (what with the 1st level spells and all).
EDIT, given the limited item availability post:
If you can pass the Comprehend Languages without the Magical Aura, Comprehend Languages is actually on your list.