Not had experience of this type of thing but there would seem to be two options. I presume the clubhouse could be connected to broadband and it would be relatively simple to put a wireless router there for site members to use with their laptops. Encryption would need to be used and changed on a regular basis but members could be informed of the new encryption quite easily.
A high gain outdoor aerial such as this one from Hawking Technologies could be used to enable site members to access the internet from their chalets. click here
Two problems I can see though with both of these. If a lot of people were connected at the same time you could have bandwidth problems. Secondly, most ISP`s have a clause in their contracts about sharing connections. You would have to have a Professional/Business package and these cost significantly more than domestic tariffs.
The third option is to set up a full commercial wireless hot spot, again not cheap and would members be prepared to pay for it`s use?