Hi,
What time were you planning on getting to the Beach Club for breakfast?
If it is very early ( ie 630 or 7am) you could take a taxi direct to beach club.
If it is a bit later say 8am or there about I would take the monrail to the MK and then get the BC bus.
If breakfast is after Epcot opens you could take the monorail from the TTC to epcot and walk to the International; Gateway and then to BC ( from the BC you can walk through the World showcase to Future world before WS opens @11am or so but i am not 100% not sure if you can walk through WS heading to YC/BC via the Intl Gateway before WS opens but I think you could do it)
Regards
TBS