To tell you the truth, it's completely doable with some imagination, resourcefulness, and time... almost like a good challenge. If that's fine with you, I'm sure you'll find some good answers here (I have to take a look at my bookmarks and find some tutorials on how to do a remote or automated install).
HOWEVER, if you don't want to spend the time or don't really care about the challenge, then buy a keyboard (shouldn't cost too much, check craigslist - example $1 keyboard: http://seattle.craigslist.org/see/sys/1335089360.html). It might serve you well, as there could be some future troubleshooting requiring you to have a keyboard.