I have always come across this problem, I run out of company names when I do bh stuff, and I am sure this is everyone's problem that people have to start rotating alphabets to make new names. I was looking around and found this link, hope it is useful. Code: http://www.company-name-generator.com/advanced-company-name-generator
There are quite a few of these generators, and if you're naming an actual company they suck. I know that's not what you shared it for, but please if you're starting a new company do NOT use one of these generators to name it!
it is not for generating real company names that you do business with, if you mail cl and all you might need this to generate random names for different ads and stuff.