I am symphathetic with you but.... you can`t change your principal Authority, if you are talking about organization. The principal place of business will define your Competent Authority. If you know how to circumvent this, then please please let me know!!!
If you are talking about Part-66 licence etc, then yes, you have free hands to move your files and licence somewhere else - but even here not everything is perfect. Some Authorities are reluctant to accept newcomers from other jurisdictions, for instance Dutch KIWA plainly published that they do not accept licence transfers from Greek CAA until further notice "as investigation is pending". Regarding Part-66 licence, I might reccomend Hungary or Austria. Don`t touch ENAC.