hey old les. my .02
i use my NSI golf bag and carry my twin tip. it will not fit much over a 136x44.I can also fit two kites and other swag in that bag. I have a REI duffle which carries another two kites and shit as well. I just went to Baja with delta and only had to pay for one checked bag, which was $27 one way. You should check airline you are flying on to see what rules are. Delta international gets you two free checked bags as long as they are not over 50lbs each. Print baggage rules to take to skycab(only use skycab and have a tip visible).
The door will not fit unless you use a big bag, I have a DAkine Coffin bag which will fit a fairly big board, but not sure a Door will fit.  I have a Door and could check if need be. Not sure, but you probably don't need a Door down there any way. Which brings me to the best solution is to rent a board down there if you can make prior arrangements. You could probably demo all sorts of boards down there. 
Carry your small twin tip and smallest kites and rent the rest. 
 You can use either bag if you need to if i dont need them, which most likely i wont.