Nothing like being spoiled for choice is there! 🙂
Option to park at Bishop’s Waltham then head N to Street End where you can pick up a normally decent bridleway leading to Bigpath Farm, Woodcote and you can extend to near Baybridge House. A decent circular route that would involve minor roads to get back to BW. Do avoid Morestead Road though, traffic is fast.
Another option is drive to Cheriton, the other side of the A272. You can head SW and pick up the South Downs Way.
Word of warning for Old Winchester Hill- last time I was up that way it seemed to be a pick-up joint for men. 😯