i'm not sure if you're expecting to pat it into the pan or roll it out as you would for a pie, but...
1 part butter
1 part sugar
2 parts flour
pinch of salt
should get you in the general neighborhood of a cookie-like dough you can press in. some cinnamon or lemon zest might be a nice addition, too. i'm not too sure about what kind of texture/ consistency you want; reducing the sugar by up to 1/2 would make it more "fork friendly" (less crispy).
you mentioned "no egg", but i'll throw in my usual dough recipe anyway.
enough for a thin crust for a deep 10" springform pan.
1 1/4 c flour
3/4 c butter
1/4 c sugar
zest of 1 lemon
i pat out a thin bottom in the springform pan and bake at 400 for 8 min. after it's cooled, i roll out the rest of the dough into a coil and press out the side wall. you could probably substitute a tablespoon of milk for the yolk, or just up the butter a bit.
hope this helps