Your options without a landline are:
* Cable
* Satellite
* Fixed wireless
* Mobile / 3G
As the previous poster mentioned, cable effectively means UPC, available in certain urban areas.
Only satellite is guaranteed to be available everywhere (as long as you can see the southern sky and put a dish on your property, like a Sky dish but a bit bigger). However, this option won't save you much if anything over your landline, unless you can live with very restricted download limits. (There are other technical restrictions too).
Fixed wireless depends on you having line of sight to a local operator's mast. You would have to check who operates in your area. Experiences with fixed wireless are very variable. Some people experience very poor performance at certain times of day. If you have this option, make sure there is a cooling off period or that you can get out of the contract if performance is unacceptable. (You'll be lucky to get this option though).
Mobile performance is even more variable, and is heavily affected by the number of people in the local cell. And there are multiple different operators to choose from, all with different signals. If you need to be able to connect multiple computers you will need some sort of cellular WiFi device which several of the mobile operators offer. With these there generally is a cooling off period. With mobile there are also pay-as-you-go options so this might be more suitable for occasional usage. As with satellite, download limits may be very restrictive and watch out for operators who will automatically increase the cost per Mb by up to a factor of 50 when you run out of prepaid bandwidth.