The 5GHz network will never have the same range as the 2.4GHz. If you want higher speeds, then you probably want a more powerful/higher bandwidth wireless router or access point. If you are renting the router, then I recommend buying your own. But I would start with a simple access point if you have an available hard wired LAN port available
like this Ubiquiti model. This will likely have much higher bandwidth on both 2.4 and 5GHz as well as broader range. You can configure it via a phone or tablet app, or more complicated desktop programs.