WL to Springs (or Typhoon Lagoon but not really) at least gets you to a Lynx bus stop, via Disney Transportation even. Lynx 350 runs from DS transfer station to Destination Parkway, and goes right past SeaWorld in the process (I'm assuming they let you get off?)
https://www.golynx.com/maps-schedul..._1_1=showPublicPosting&calendar_entry_id=7530
The Lynx bus isn't at the Disney bus stops but over by Cirque du Soleil and the surface parking lot, so it's definitely not the simplest way to go, but probably the cheapest!