no way, full backs feel like you're wearing a diaper and you still get wedgies anyways, so why not have a tinier more environmentally friendly wedgy and no panty lines?
if you're actually having the specific problem mentioned in the title, just size up. try plain ones instead of weird fancy ones.
The slogan for the “full-back” knickers I wear is “They won’t go up your bum.” And they don’t! (Insanely comfy, jaunty colours, sturdy. Expensive but worth it.)