Hi Nogser,
I know exactly where you are coming from. I got rid of my 21 year old tumble dryer because I felt it was overheating and shrinking the clothes. I now find that the new one is no different. Its really a no win situation. I find it very awkward trying to get school uniforms dried, ironed and back in service every Monday. Used to be only short of dragging the uniform off their back as they come thru the door on Fri. I suppose you could say I cheated recently and bought a 2nd set of uniform items that can't go in the dryer so the big rush is off!
As mentioned previously I was warned that it is very bad for the house to constantly dry clothes indoors and it causes lots of different problems - I'm told. I don't think that a dehumidifier would help with the drying but I suppose its worth a try? - approx £200 further expenditure :rolleyes