We had a Feist when I was young. He was hell on a squirrel! About the right size and didn't shed much but they might be more barky than you want.

My first wife had a female Dachshund that was a great house dog, she wouldn't let me take her to woods, always thought she would hunt.

If I were looking for another mutt, the first trait would have to be little or no shedding. Kept a Springer for 13 years. He's been gone 10 years now and I still find his hair once in a while!

Good luck!