How small is "small"?
Five pounds? Ten pounds? That's about all I do at one time.
I seem to be one of the few contributors to the forum to use the old hand crank grinders (perhaps there is a bit of Luddite in me?). Or more likely, it's what I started with, it works (was used by home sausage makers for well over 100 years) and is cheap to come buy (pun intended).
Do an Ebay search for "Enterprise Meat Grinder" and you may find good quality, like new #5, #10 or #12 grinders for under $20. If its a true "Enterprise", it hasn't been made for close to 50 years, so if the tinning is still bright, and no rust showing, it's probably like new. Sometimes you will see one new in the box. These are lifetime tools, even when used all the time. Ebay is the place to find them.
I have 3 of these (#5, #12, #22) and the #5 is the smallest and handiest of them all. It will grind a pound a minute with no sweat and is easy to clean and store. Replacement parts (blades and plates) are available.
When looking at these, extra plates and blades are a plus. Look to see if the tinning is bright, the handle has the locking screw, if a #5 or #10, if the end piece on the clamp screw is present (not a bare screw to dig into the bottom of the board or table you clamp to). Look for welds or cracks in the clamp, but this is not likely with an Enterprise. If it's not almost perfect, skip it. An almost perfect will come along every few weeks.
Apply the rest of the money towards a 5# Grizzley stuffer. You may get both for under $100.