Hi Casey and welcome,
In my experience with nerve blocks they were used as a dx tool. They let my neurologist know which nerves were involved and then she tried different meds until there was relief.
(I,like you, is typing one handed!)
CRPS is a crappy monster to deal with for sure. I so wish for you to find releif.
We finally found a good med cocktail that works. In my case it's Gabapentin, Cymbalta and Amitryptaline. Cocktails very for each person so don't be affraid to experiment.
Even blocks work differently on different cases.
That's my humble opinion.
Good luck...