I confess that I haven't needed to look in detail at the options in France, we are stunningly lucky to have VDSL in the village (it was installed just after we bought). We're stuck with Orange but apart from that have good Internet which is a real bonus.
It is reasonably likely that Orange is telling the truth if you are in a village a long way from the local exchange but it might be useful if you have access to someone with a technical bent to check things over. I think you can find which exchange you are connected to at http://www.degrouptest.com.
For a downstream speed of just under 2Mbps you should be around 5km from the exchange - if you are a lot closer there might be a problem with the line. It is worth checking the quality of the extension wiring in the house and use/placement of filters which can make a lot of difference with a marginal connection. Finally it might be worth trying a different modem - Orange don't necessarily make this easy but it is possible. Again you might need to find someone who is comfortable tinkering with this kind of thing. If you don't fancy that or don't know a tame techie then someone in another thread mentioned that their speed increased with the new Livebox 4 so that might be something else to check before abandoning ADSL completely.
Satellite will have wider availability but it is not so good for browsing and very poor for things like VOIP because it takes the data a very long time to travel up to the satellite and back down to the Internet (this is known as latency).
WiMax might be better if it is available to you, or you could look at access via a 3G or 4G dongle if you have a good mobile phone signal.
In the UK I would also suggest that you could look into getting another phone line and internet connection and using the two in parallel - this is called bondng. No idea whether anything is available in France and it tends to be a business oriented thing. Of course in the UK my (business) ISP does not give a hoot that I'm not really a business, don't have a VAT number etc but when I briefly looked into the business sector in France they pretty much wanted a Siret/Siren before they would talk to you.
Try googling for "agrégation des connexions ADSL" - might give you some leads.