Your best bet for racking up miles for requalification in this case is probably to stick with TK. Try playing around with bookings directly on the TK website and make sure you're in Q booking class.

This gives you 100% of the miles earned at the (comparatively) cheapest price. Their discount fares only give 25% or 50%.

you have to click through almost all the way to the payment page, fill in a made up name and email to get there.