For a band saw you would need to add a substantial size table because the pieces are quite large.
A band saw is a good choice.
IRS auctioneers auction large band saws for cheap (but most are in NC, VA, TN, the furniture belt,, so transport is an issue).
A CNC router 4' x 8' model can make the pieces from a whole sheet. It can make a piece in about 30sec per piece, and since its software based- no roughing out, unlimited designs/scaling , other router embellishments are a breeze (adds to product value).
Yes a cnc router is 10k but it will make your production speed look slow.
They can (for this type project) equate to "it does in 1 day the work you did in a week", so you get 4 days off. That has value.