Hello Garry,
Timber frame will be quicker to build and you should save yourself some money. But bear in mind that timber frame construction is relatively new in Cyprus and that some of the companies that offer houses have little experience. So make sure you visit homes that they've built and check with their owners that everything's OK.
There was a company here that manufactured SIP houses in Cyprus, but that went belly-up a couple of years ago.
The other companies that offer timber frame import them directly from the country of manufacture - or import the materials from the timber frame supplier and manufacture locally. These can be of a 'standard' design or bespoke to suit your requirements.
If you want a timber frame house, I suggest you talk to some of the companies that offer timber frame homes. These will have their own architects and construction engineers. They will also sub-contract parts of the work to different contractors.
Take a look at
http://www.cyprustimberframe.com/ there are a number of timber-frame companies listed.
There are a couple of things you need to be wary of - as I mentioned earlier there are a number of companies offering timber-frame homes - make sure you check them out properly and that you are satisfied with the quality of the product and their workmanship. The cost of insuring a timber-frame home can be considerably more than the cost of insuring a concrete and brick construction.
Regards,