The Magic Molder is a really excellent system...my cabinetmaker neighbor has one and most of the time, it's used specifically for the task you are faced with. Yes, not inexpensive, but nearly zero vibration and excellent quality cuts. If you think it through, it might be a very useful piece of tooling to have in your bag especially given you do work for others. Given this customer is requiring you to make the beaded panels as one piece, I hope you're up-charging for the custom feature.
That said, another poster is correct...you should be able to find one of the older Sears type units, but do be careful with them. One of the nice things about MM is how the cutter tooling locks into the heavy and well balanced unit.
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The most expensive tool is the one you buy "cheaply" and often...