"On the other hand, if you want a solar-powered Chromebook, the inverter could be a deal-breaker on the weight."
You wouldn't need an inverter, really. In many cases, low-power laptops run on ~10VDC, so a direct solar panel connection with resistor would be roughly fine to hit the battery through its charge controller. For those needing ~20V, you just use a cheap-ass boost converter and resistor before you feed to the charging/power circuitry.
Been there, done that, made solar-powered headless laptop servers.