I think this is too much work for a server you don't have root access to.

First and foremost- ask the admin to do it. Are you being ignored, refused? Consider another box (hosting provider/etc), or find a solution to your task that doesn't involve installing custom DBI drivers.

It's not a popular answer- but it is my honest suggestion- and in jaded experience, I think a good one.

I mean, is this like the last pebble to make your pyramid? How often will you be needing installs like this? Installing MySQL DBI drivers can be a little bit of a hassle even with root access, for example. You have to know that there are other funny non-perl deps.
So, this kind of thing can happen again with other modules- and waste a ton of your very valuable time.