I do think an old Kenmore with front-loading bobbin could do the job very well. Look for a serial number that starts with 158. They were mostly made by Jaguar. I can find them at the thrift store pretty often, but the price has gone from $15 to $35.
The Juki 2010 is pretty awesome and relatively inexpensive machine, that could do the job.
The Bernina 930 is a great vintage machine. It could do the job very well. But the walking foot doesn't work very well on mine. I wonder if I just need to adjust the presser foot tension? They tried the criss-cross feed dogs on the 930, and decided it didn't feed as well, so they made a "feed dog up-grade," with teeth. I have the up-grade, but it still doesn't do very well with the walking foot.