Some good riding from Newport itself. Head along the A487 towards Dinas, turn left up the bridleway just before Dinas Cross, up the Bstard steep concrete track lots of options across the toot Carnigli or you can head down into the Gwaun for a pint at Bessie’s. If you want to go big, you can then head up the bridleway at the Eastern end of the Gwaun to GelliFawr and up onto the Presilis or round the southern edge of Foel Eryr and back down into the Gwaun. Whichever route can then take to to the Bridleway at the Eastern end of the Gwaun, which head the steep track past farms to skirt round Carnigli, where its possible to get cheeky.
Bear in mind Newport is full of retired teachers who love telling you off. A cheery smile and reply in Welsh sees em right.