Shiwa is really a destination in itself, and isn't often used as a base for excursions, although Kapishya would make quite a good base for visiting a few local waterfalls, detailed below. What's more, ask the team at the springs and they could probably arrange for a guide to go with you to make locating them easier.
Chusa Falls (GPS: CHUSAF) are the closest falls, lying a 10km drive from Kapishya, or 7km if you're walking. The falls are quite clearly a short series of three steps, each being several metres high, and they make a good day-trip from Kapishya.
These falls are a 15m drop on the Mansha River (GPS: SENKEL). The turn-off to them on the Mpika–Kasama Road is (GPS: TUSENK), which is about 3.5km north of the turning to Kapishya and Shiwa. From there the track turns north and continues for 10km. Continue north after the road forks, then after about 2km of high grass, stop at the deserted house. The falls are 100m from here, and this might be a lovely place to bush-camp.
Finally, the stunning double Namundela Falls are about two hours' drive from Kapishya, followed by a 90-minute walk to the falls along the Mansha River. To get to them, head 28km west from Kapishya, turning north at Chilombo School (GPS: CHILOM). Follow this track about 13km north and slightly east to the Anderson Farm
(GPS: ANDERS), and then further to the Kapololwe Homestead. From there the walk along the river begins – contributor Ilse Mwanza recommends Elias Malama, from Shiwa, as a super guide to these falls.