This is my experience with another airline that has bad customer service standards (albeit not that terribly bad as QR): TK.
It doesn't make sense to call any 'helplines' - they are powerless and read from scripts. 'Customer service' department is equally powerless.
IMHO the best option is to get in touch with someone from a local Sales/Commercial organization (like Country Sales Manager) - they value the high tier passengers as they know we fly on expensive fares what helps them to meet the sales targets. Normally they know someone at the Headquarters who can push for the right solution. Since my travel agent introduced me to a local TK Sales Managers, I do not have any customer service issues
Why not to try to call a local Sales Office (not the call center that is not even located in DE) and ask to be connected to a sales Manager