Look at White Dutch clover. There is one called Microclover that might stay smaller than white dutch clover. I'd look into a mixture of clover and dwarf type grass if there's such thing so you don't have to mow very often.

Here is a link that might be useful: Microclover

Hi Lou, and thanks. :) White Dutch is likely what I go with. . . if I can't find a native clover.

How did this work out for you?
I'm looking at doing the same in my side yard.

Dutch white clover makes a very lush looking lawn if you can stand the bees it attracts.

If you do not use Dutch white clover then you will be looking at a forage type clover. Those grow up to 30 inches high and are very tough plants to get rid of...unless you have cattle or hogs. Dutch white grows to 5 inches maximum.