Dulverton is not far from my in-laws and before we relocated down here permanently we used to stay there a fair bit so have ridden around there quite a lot. It’s ma great area for some offroad exploration if you don’t mind a few river crossings and a bit of hike-a-bike. Some steep climbs too.
You’ll need an OS map but the route I’d suggest would be to head N up to Marsh bridge and take a left over the bridge. Steep road climb up and the right to Hinam farm and drop down to the riverside bridleway (Exe Valley Way). Follow that to Hawkridge and then the lane from there to Tarr Farm. From Tarr Farm take the bridleway up to Withypool (2 river crossings – one on stepping stones).
From Withypool road climb up to Comer’s Cross. from there head up to Winsford Hill and pick up the trail which skirts the Punchbowl and follow over to Winsford. From there, you can take a choice of offroad routes to the S over to Edbrooke and then on to Broford farm. Fun little descent from there via the byway back in Dulverton.