Try Fermain Bay about 1nm S of SPP. Just round the corner from St Martins Point (SE corner) there is a very sheltered bay (watch out for rocks smack bang in the middle though). in the SE corner of that bay there's a very small anchorage tucked into the rocks, enough room for about two boats. I'd suggest picking up a local pilotage book when you first arrive. Shell Beach on the E of Herm is pleasant when the weather is settled. As an alternative to SPP try Beaucette Marina, the fuel is cheaper than in town and the restaurant is good ~not cheap but I've never had a bad meal yet.
Depending on where you're coming from try overnighting in Alderney to break the trip, provided there's no North in the wind. Take the tide down through the Swinge and the trip will take about 3 hours. Not teaching Granny anything, but tidal ranges can be up to 10 metres and work with the tides.
South coast anchorages are fine for fin keelers, as is the E coast of Herm but check the tidal range! If SPP is full there is a bay the other side of the sea wall (to the South) Havelet Bay.
Enjoy!