Question
Is there a variety of Weeping Cherry trees that grow to only about 6-7 feet tall? If so,where can I find them?

Answer
One of these is the stella cherry.
STELLA, COMPACT Prunus avium- Has all the outstanding characteristics of the parent, but is a dwarf plant. Does well west of the Cascades and most mild-winter areas and is excellent for home gardeners with limited space. More crack-resistant than Bing. Self-fertile and a good pollinizer for other sweet cherries. (Mid-season/self fertile)
I would check with your local nursery and ask them to get it for you that way they can make sure it is a good healthy plant.