I put a bag of black cow composted cow manure in a black plastic basket like wholesale produce venders use (I lined them in cardboard to better hold the soil) and buried the cull sweet potatoes in there. Keep well watered but not to the point of sogginess. I believe less water more frequently works better than cycling wet and dry. I pulled and planted them all at once but if you had fewer potatoes to start with I believe you could pull the rooted slips and replace the potatoes into the cow manure and get more.what method did you use to start your slips?
I have a greenhouse and started them there but you could probably build a cold frame out of wood or hay bales on the south side of a building and use that just fine.
before I did this I thought it might be a difficult process, was surprised how easy it was and how many slips they produced.