If DSL is available in your location you could use that. Contact the landline phone company that serves your location.
Or use a satellite internet provider that requires a satellite dish so the hardware is a more expensive and the service is usually not as good as DSL or cable. Search "satellite internet provider".
If AT&T has Uverse in your location that is another kind of DSL known as VDSL2. It can provide TV, internet and VOIP phone service.
WiMax is a totally wireless service but as far as I know it has very limited coverage so may not be in your area.
The local landline service will probably work with your router but I'm not sure about the others.