It’s hard to find a unit that will cover all 4 of those frequency bands.
Having said that, Midland makes a model called the Midland Base Camp XT511. I’ve never tried one so I can’t readily recommend it. It is an odd form factor and may be a bit toy like. But, it has a great description.
The Midland Base Camp XT511 combines a GMRS two way radio with an emergency crank radio! The XT511 also features a flashlight, an AM/FM radio, and a NOAA weather alert radio. The Midland XT511 can be is perfect for emergencies, as it includes both an AC wall power adapter and DC vehicle adapter. The Base Camp XT511 can also operate on battery power (included rechargeable battery or 4 “AA”). The rechargeable battery can be charged using the AC/DC adapters, or by turning the Dynamo crank.
As a two way radio, the Midland Base Camp XT511 supports 22 GMRS channels with 121 privacy codes per channel. Hands-free (VOX) mode is supported and a corded speaker microphone is included for easy operation.
The Midland XT511 makes sure you stay aware of changing weather situations by supporting NOAA weather alerts, as well as allowing you to listen to standard weather broadcasts. The XT511 also features an AM/FM clock radio with alarm, and a flashlight. A USB connector is also provided that allows you to charge your USB enabled devices (including many cell phones).
There’s bound to be other models that fit your specs that may be a bit higher quality and more reliable. But, at $100 the quality may surprise me and make an interesting addition to your setup.