Technically you are not buying a ticket use the CC, therefore the insurance may not apply at all. Besides, I believe NONE of the cards offer meaningful medevec insurance or medical treatment / hospitalization while traveling - and that is what Travel Accident would most likely cause. Otherwise I dont know what you refer to by Travel Accident Protection.
Of your itinerary, India, Russia, China, and may be Myanmar, would be the most likely places a Travel Accident / Illness / Injury may occur.
Your best bet is to buy a separate Travel Guard type insurance policy if your travel is extensively long. AMEX offers a policy that has MedEvec included that is reasonably priced. You most likely can find it by google it or browse AMEX website.