L-Band specific reception antennas are fairly rare. We have one, specifically designed for L1/L2/L in the RTK Facet L-Band (https://www.sparkfun.com/products/20000) but that’s not really helpful to you because we don’t sell the bare element.
But none of this answers the core of your question: light weight. I suspect (but have no idea) the helical antenna (https://www.sparkfun.com/products/17383) has reception bands and filters that may be wide enough to pickup L-Band. Testing required! I’ll see what I can rig up next week.
There’s a whole other question of L5 reception that should be figured out as well.