I've also pinged Geoff and Daniel on Twitter, linking your library: https://mobile.twitter.com/zwegner/status/147340073352554497... ...maybe they'll have some ideas. (Geoff has mentioned that he had done some initial work on a simdcsv)
I'll also drop some more links that you might've already seen, but could be useful otherwise. For removing double quotes, rather than memmove, you could use the "pack left" operation on vectors. There's a handful of ways to do this pre-AVX-512-VBMI2 (where the magical vcompressb instruction was added), like in these SO questions:
https://stackoverflow.com/questions/36932240/avx2-what-is-th...
https://stackoverflow.com/questions/45506309/efficient-sse-s...
And for keeping the main lexer structure that ZSV uses now, but using a small DFA to maintain the lexer state, this other trick from Geoff might work: https://branchfree.org/2018/05/25/say-hello-to-my-little-fri...