Whenever we have an ADR at Cape May we taxi from CBR to BC. Cab will pick you up in the circular drive of your building. It is about a 6 minute trip and is usually ~$12 before tip.
I'm curious how you go about getting a taxi from the circular drive by your building to Cape May? Do you call from your room phone? Does the front desk set it up the night before? We have a Cape May ADR and this sounds a bit more appealing than trekking through Epcot and dealing with Disney transportation that morning.