I would consider a vintage machine with multiple stitch capabilities. I've discovered that you can find an abundance of Sears Kenmore machines on any of the typical online sites. I would take any model 158.xxx machine in good condition - they're mechanical and most have several stitch options and are solid performing machines. May be 35-40 years old but much more reliable than the plastic machines you pay the same for today! It's just a thought for the budget you're looking at.
Good luck and Happy Sewing soon!