I got this ski helmet for $55
and these 1200 lumen lights for $20
and attached them with velcro to my winter and summer helmets. It is very light at 6g, very bright, and I have a spare. I highly recommend them.
I wear a balaclava under either helmet The Smith snow helmet at 67cm is much smaller than my Specialized Align II Mips Helmet
helmet is at 62cm.