> can I cheap out with a 6V
Batteries go by the pound, very nearly. 12V 5AH is just a tad more than 6V 10A.
You "cheap" by buying a battery which fades before the trip(s) is over.
Also: Doug gets good results with one LED on 3.6V battery, direct for Bright or with resistor for half-bright. 6V is too much for one, not enough for two. Three such LEDs will work with 10.8V, which is near-enough to 12.6V-11.5V that you don't have big waste.
I'm thinking.... Doug says one Bright LED blinds oncoming cars, though perhaps because it is so small (far smaller than a car headlight). When you spread it out over the letters A-V-O-N it may be kinda dim for attention-getting. Three LEDs will light one side pretty good. You want it to shine coming and going. Two strings of three LEDs.
Max current is 2.8A, half-bright is something like 1.5A. Two strings is 5.6A or 3A.
How long must it run? 1 hour, a 12V 6AH batt will go dim and wear out in a year. Unless it turns out the half-bright is fine, then 12V 6AH is fine, up to an hour. If she's driving 4 hours on Bright then we are up at 23AH which is half a car battery.
Northern Tools has a car-charger 12"x15" rated 11W for $79. Assuming 13V charge that means 0.8 Amps in full sun at optimum angle. I don't even know where you are; south end of the Bay or out in Vegas? In Maine it gets dark in winter. Say 6 hours sun, 5AH, times 0.7 for being flat rather than aimed at the sun, 3.5AH. Hmmm. This says two $80 panels to run 1 hour at half-bright. Four hours at full 5A current needs SIX $80 panels.
Amazon shows a 15W 12V 16"x42"(!) for $92. Similar on eBay selling at $55. Forget battery cost, solar panel costs will dominate the overall cost.
You could scale WAY down on brightness. I have a solar house-number light. In NJ it was just barely brighter than sky-glow. Here in the dark woods I can see it many hours after sunset. I don't think it would get noticed on a highway full of headlights. But heck, it was cheap, list $50 but generally found for $20. Cut AVON out of black plastic and glue over the number area, show her.