Damp shade certainly needn't be a problem, in fact it can be exciting. Instead of fighting it you can grow plants that are happy in that area. Finding scented plants may be more difficult but there are many plants that will thrive in that situation.
Hosta, Alchemilla, Anemone, Heuchera (some very colourful varieties are now available), Astrantia, ferns, pulmonaria, foxgloves & Persicaria will all do well.