you can do this in EQ. subdivide the drawing you've done on the graph paper. draw each block. put them together using the "Custom Set" option for the quilt layout.
unless you're a geometry whiz, you will need to tweek your blocks until they fit together the way you need them to. it'll be time consuming but if you stick to it, you'll learn a lot about the program and have the quilt you want when you're done. :-)