One benefit of staying in a county like Derbyshire is that there are many types of accommodation apart from the usual hotel rooms and you can have the choice of riverside cabins and beautiful cottages overlooking rolling hills.
Prices can overall cost a lot more but if you are sharing with others than it will be a lot cheaper because the price will be per cabin/cottage and not per person.
Unless you are staying in a major town, it is unlikely a place like Derbyshire will have many hotel rooms and to be honest this is not a bad thing. With its outstanding scenery, it would just look out of place and many love the thought of opening the windows and just seeing hills.
Take your time searching for that perfect holiday getaway because it is guaranteed the right place will be there for you but be aware in the main season it is best not to be too fussy because accommodation fills up quickly and could result in you not finding anywhere to stay.