I know that you have done the uninstall/install for livemail, but I will tell you what I did and it seemes to have worked.
Uninstall Live Mail.
Download Live mail,NOT the whole Live essentials stuff.
Install live mail. The program looked normal,but did not work.Instead , a box appeared,saying I needed ".net framework V4.0.30319". I googled that in microsoft and found/downloaded the file.
Installed and ,no more black screens.
Of course it was only last night,so i have to give it a good road test.
DON'T download the file from anywhere except Microsoft,there are a heap of scam sites wanting $50 for the file.