I'm not sure if it can do both. Although, an option you may be interested is you can get an the IOgear universal adapter. This will connect to the hotspot via wifi and allow you to connect via an ethernet port.
Maybe one of these could help so it isn't charging all day/night. Have it turn off for a few hours and charge for a few so the battery isn't fully charged nor fully drained, like have it on 4 hour intervals or something. Not sure if that would do anything but that is technically what they recommend.