Ours eat the same hay as the other sheep. They do like some browsing such as willow branches, but will survive without them.
Soay are very much seasonal breeders so are usually born in April or May. We have found that sending them off at 16 months in August works well - they have a reasonable carcase size but any uncastrated males will not have picked up a taint. However, keeping them on for a further year to 28months, especially if they are wethers, will give you a better carcase size. Don't expect a fat lamb though - Soay don't do that
In common with other Primitives, Soay tend not to put on any condition over the winter, and can even drop back a bit in size over the winter months, so you are best to send them off in the summer when they have had a few months on really good grass, whatever their actual age.