There have been events like the Lucky Board and Lucky Stars which have med. threads in its reward lists. These can be gained through coupon savings and luck.
I feel there's no real need to go beyond lv3 since, like you said, most f2p players will be at lv3, this creates a level playing field. However if you must become stronger than everyone else then you must look to extraordinary means to acquire such power.
I've friends who are 40-60% down the line to lv4 rank purely through coupons saved and spent during such events. It just takes a longer time, patience is key.