Well, using a permutation generator, you could create a list of all possible combinations of letters, which is 26³, or 17,576.
Using godaddy bulk search, which allows for up to 500 searches at a time, this would take 36 searches to complete.
Trust me, this will be a waste of time, as
a) I just ran a few searches off of this list out of my own curiosity and they're laden with names containing "x", "q" and the like
b) All LLL.ca's (or all .ca's for that matter) which are both any good, and being deleted as a result of not being renewed by the original registrant, will be made public on the TBR list providing investors such as myself with plenty of opportunity to try and get in on them
c) At one point, DCG (who, as I understand it, prefers "Adam" nowadays) had registered all possible LLL.ca combinations and released them just over a year ago
Any ones which are hand reg'd now are true gambles.