DeadMini is text-based only. It is only 5megs, for gods sake! But it has a package you can download that will give you graphics:
A very small X server by (not only) Keith Packard. See homepage of the project. The package contains Xfbdev, Xvesa, rxvt, xcompmgr, windowlab and xinit, which smartly decides between Xfbdev and Xvesa and allows you to set proper resolution.
Go here to get it:
Read the website. You can use "links http://web.isteve.bofh.cz/deadcd/deadmini/" without the quotes to look at their website from the command line. Might be "lynx" instead of "links".
Tell us what is listed in /bin and /usr/bin like this:
Something in there can be used to download the graphics package.