Be careful wearing those braces. They're great in the short-term, not so much long term. If you haven't done so already, talk to your doctor...
The Kinesis Advantage is a great keyboard - especially if you are having wrist problems. The closest alternative is a maltron. Both will take around 3 weeks to get used to - possibly longer.
Yet another option would be a pos keyboard. Tipro or Access have keyboards that you can reprogram the firmware - they also have pretty standard layouts.
I remapped my capslock about a year ago - it's a fantastic little mod.
It's worth talking to your IT department. If you explain what you are trying to achieve whilst offering a tray of cakes at the same time, you might find they can be really quite helpful.
[edit: just ask them if it's possible, IT people like a challenge, and don't like being given solutions to implement. Do remember the cakes, though]
The ahk (autohotkey) script you'll need is this -
#SingleInstance force
#MaxHotkeysPerInterval 100
#UseHook
Process, Priority,, Realtime
SetKeyDelay -1
Capslock::Backspace
^Capslock::Capslock
If they don't trust you with ahk, they can download it on their PCs and compile it for you.
Also, take a look a
texter - it can help reduce the amount of keying you need to do to transcribe a recording - and it's free.