I am planning a trip from LAX to Asia next Spring 2014 staying 3-4 days in the following destinations in no particular order:
TPE, HKG, SGN, PNH, BKK, KUL, SIN

Does it make sense to travel in a linear route North-South or South-North. I have 110,000 AAdvantage miles and plan to fly biz class on Cathay Pacific.

I also have 50,000 Delta SkyMiles, 55,000 Virgin Atlantic Flying Club Miles, 60,000 UR and 55,000 Amex MR Points.

What is the best use of miles between all these cities with stopovers.
I prefer to fly biz class accross Pacific, and don't mind flying LCC's (Air Asia, JetStar) in economy around Asia. Also, between SIN-KUL and PNH-SGN I will consider taking bus/train service if its cheaper than LCC's.

Thanks!