Well we have plenty of beautiful wild countryside/mountain areas, especially in Scotland, but also in England. Then again they are not going to be that much different to your mountain areas.
What are you aiming to see ? Ancient monuments, Roman remains such as forts, Hadrians wall, (used to keep the Scots away from the English), religious buildings such as cathedrals? More modern industrial archeology, such as canals, railways, etc.?
Be assured you can fill your time.
Of course you will get further advice from ECN, but there is lots of stuff on our internet tourist sites(.uk)
The railways are a good way to get between cities, but if you want to get out into the countryside and smaller towns I would recommend you invest in a hire car.