Not exactly what you were asking but they actually make 22 cal smooth bore just for bird shot. A private seller had two for sale at pocket traders earlier in the year.
I have had good success at indoor turkey shoots using a Winchester model 67, a Remington 510, and another Remington model 41 (I think)....I won numerous hams and a bit of money as well...This was before smooth bores became common at these shoots...I believe the shallow rifling used in these older rifles, along with the longer barrel lengths may have contributed to their success....