You could simply code the url line of your web browser to accept more complex text imputs like and good text program.
Most work editors can accept something of ctrl+354 scheme to enter other non-latin characters. Why can't my browser?..
As to the comment a few people down talking about misspellings of webnames and the like, you're going to have that problem no matter if you use latin or non latin characters. You're going to have stupid people that mispell your name no matter what, so that doesn't really affect the nature of what character set we should use.