The alternative is to use a nesting CNC machine. The parts are cut and machined at the same time, there's no need for a saw. However, you will need to nest the parts, again as efficiently as possible to minimise cut time and material waste.
Some CAM software comes with a nesting module. If it doesn't or it is a bit too basic for your needs, it is very easy to add OptiNest into your workflow as it combines perfectly with Polyboard.
Its core nesting algorithm offers excellent results in terms of both time and waste management. It also crucially includes a labelling feature and stock/off cut management that you may not otherwise have access to.