re: Credit Card Rewards and Points Discussion

Not sure if this is the best place for this post, but I'm trying to plan a points strategy for business class flights to Thailand next year. I've never really booked international before, and the awards charts, alliances, etc are pretty confusing to me so just making sure I'm going about it correctly before I throw all of my eggs in the wrong basket. I'm under 5/24 and have a business so can be pretty flexible with sign-ups. Have Amex Plat, Amex BB+, CSR, Ink Pref, Ink Cash. Was thinking Amex Business Gold next.

Seems as though ANA, 110K RT per person with $200-400 in fees from JFK/LAX. I'll have the companion pass so I can fly to/from most places in US. I've got about 170k MR but little to no miles on any other airline currently, so I was planning on just racking up on MR sign-ups until I reached the milestone. I was wondering if anyone had an alternative recommendation, airline, or strategy to getting to Thailand? Is ANA the way to go or should I look at other airlines? Is the best way to search through the ANA website? I have 235K UR as well but would prefer to spend the MR since I find the UR more flexible and easier to use on hotels etc.