[blindndangerous]

Here's what I did.  If you still have a working copy, give this a try. This is probably pretty hacky, but it, should in theory, get you up and running. I've tried this with several peoples setups, and it has all worked.
You're going to need a few things. From %appdata%\kodi\addons, grab these folders.
ruuk.addon.repository
script.module.nvdacontrollerclient
service.xbmc.tts
From %appdata%\kodi\userdata, grab these.
From the addon_data folder: service.xbmc.tts
From the keymaps folder: service.xbmc.tts.keyboard.xml
Now that you've got all that, I get a fresh Kodi setup, let it install customizing it how you want in the wizard. I have it run once, just so that it can create it's folders. Once it's up and you give it a few seconds, press s, enter.  That'll shut it down. Now put those folders that you got in %appdata%\kodi. So right back in their original places. I usually create a folder called addons and userdata, and just paste them in.
Now run Kodi again. You'll need to run it as an admin though. So find kodi.exe in program files (X86), press applications, and choose run as administrator.  Once kodi comes up, press F12. You should hear the tone, and you should start getting sapi speech.
To get NVDA working, you'll need to find it in settings. Make sure that you set your level to expert. It'll be under addons. Unfortunately, I don't remember exactly where it is, but it shouldn't be tough to find. Since you're their, also enable unknown sources.  Once you set yourself to expert, and go back to addons, go to the right, and find dependancies. Open that, and press shift+N. That should jump you down to NVDA, or close to it.  Press enter on it, and find enable. Now press F6, and you should see NVDA in your default tts engine list.
I told you a little hacky, and it looks like a lot of work, but it's not that tough.