For my 4/4 sport I've used and would highly recommend a breathable four layer Noah car cover. It is tailored to fit the specific car, other Morgan derivatives are available in the Noah range.
I use it on a black car which is prone to scratches, however the cover being tailored, does not seem to rub on the bodywork and as such has left no marks!
The cover cost £240 in 2012 when I bought my Morgan, I had the same issue of not having garage space over the winter.
The covers are made to order and available from…
The Cover Company, 7 Pennine Close, Kings Acre, Hereford Herefordshire
HR4 0TE
See link…http://www.thecovercompany.co.uk/noah_car_covers.html
Hope this helps,
Steve