Digital Microfluidic Biochips (DMFBs) have been proposed to automate laboratory procedures in biochemistry and molecular biology. The design of the corresponding chips received significant attention in the recent past and is usually conducted through several individual steps such as scheduling, binding, placement, and routing. This established scheme, however, may lead to infeasible or unnecessarily costly designs. As an alternative, one-pass-synthesis has recently been proposed in which the desired functionality is realized in a single design step. While the general direction is promising, no scalable design solution employing this scheme exists thus far. In this work, we address this gap by proposing an automatic design approach which follows the one-pass synthesis scheme, but, at the same time, remains scalable and, hence, applicable for larger designs. Experiments demonstrate the benefits of the solution.