Tricky one. I've walked South to North over the Cambrian Mountains and there are plenty of woodland areas, but they are often close to 'civilisation', and there are plenty of remote areas where nobody goes, but they tend to be bare and exposed.
There's a lovely little valley NW of Rhandyrmwyn Bridge, but whether you'd be far enough away for a campfire??? But it was very quiet when we walked it, so possibly the local farmer wouldn't mind. Nice place to take the kids if you can get to stay. But it's worth mentioning that it was dry when we were there and valleys might not be too good with the weather we've been getting. The publican at the pub in Rhandyrmwyn was a pleasant fellow, so if you find yourself in the area you could talk to him while taking in some of his liquid hospitality.
S.