'Biker' for quite a lot of non biking people gives the impression of "tattoos, leather jacket with no sleeves, long hair and a goatee beard" as you say.
More seem to understand if you say you:
"have a passion for motorbikes, in particular - the Ducati"
or
you are "a motorcyclist" (conjures up picture of Webby in Sam browne belt etc

)
The ' I spend a part of my leisure time enjoying riding my motorbike' is prob the best one to use, as you are not giving the impression you are the proverbial 'biker' or a power ranger.
Anyway, how's the interviews going

Mr 'Biker'?
C
