[This maybe ought to be a comment but it's probably too long for a comment]
How long are your rides? Maybe the thing to manage is heat, not moisture.
On a hot sunny day you can plenty wet (from sweating while biking)
On a freezing winter day you could get too wet/sweaty too, by biking in a too-warm winter coat without ventilation.
If it rained while the temperature were 28C in the tropics, you wouldn't necessarily want a jacket then that could make you hotter.
I used to commute 1/2 hour each way, rain or shine, hot or cold (in Toronto where 'cold' means about -15C), and instead of worrying about how wet I am (and when it pours, it really really pours), the thing to manage is how warm I am.
FWIW I always have short-sleeved cotton shirts and jeans, and on top (to insulate my 'core') wear a variety of anoraks or windbreakers (e.g. with Gortex and a mesh interior lining that helps to keep the sweat off), winter coats (e.g. with down filling), polyester/fleece waistcoats ... typically with zips so I can vary their ventilation.