Banner towing

[N5ZX]

Ok everybody. I figured I'd give eveyone something to laugh about.
My employer wants to know if his P337G can tow a banner.
My best guess is that the answer is NO. The conventional gear configuration would cause the main gear to be a fulcrum with the Banner dragging the tail-booms downward during take-off roll.....causing the plane to "pop a wheely" and thus deminish take off performance.
What's yalls opinions?
Thanks,
Cole