Oh poor you
I think I'd try gradual withdrawal to deal with the NWs if she's genuinely scared, or WIWO has worked better for us for monkeying around. It does sound like it starts with genuine fear though.
I'll try and find the relevant links but with lily I used to walk over to her, say a reassuring sleepy phrase, and then sit by her cot (or in your chair if that's what you're already doing), not look at her and not talk. If she got really upset I'd repeat the sleepy phrase without looking at her, and talking in a really boring voice, if you know what I mean?! Then the next night I'd do the same but move slightly further away, til I was at, and then outside the door.
The only trouble is, that'll take a while and may not shorten the nws in the meantime. I don't know what else will though - we used to have 2-3 he nws with Jack and I never found anything to shorten them except WIWO and a serious cut in the amount of day sleep he had, which stopped them altogether.
I understand you not wanting to cap your LOs nap while this is going on. Are you able to make sure she gets a good long A before bed? Our nws come back if J naps too close to BT (he now needs about 6hrs A after a 30 minute nap), so that could be contributing to / lengthening the nws. That's the only other thing I can think of suggesting.
Hopefully in a few weeks time you'll be away from the situation, her teeth will be through, and things will be more stable. Hang on in there!