Considerations
I was in a similar situation when offered an opportunity to fly to the United States from Hong Kong for some business meetings during my 31-32nd week. The temptation was that it would allow me to visit my family who I have not seen in almost a year and a half.
Consulted a few doctors and most young doctors would say NO PROBLEM. The one consideration from a doctor who really went into details that I would like to share with you:
For people who fly frequently, deep-vein thrombosis is an issue. Considering your veins are more swollen than someone who is NOT pregnant, the tendency of this occurence is at a higher risk. So long-haul flights are not recommended. If you choose to take such a flight, best advice is to not go for a direct flight, but transit after every few hours to allow you to walk-around to help alleviate such effect.
Hope this information is helpful in your decision making.
By the way, I have decided not to fly as I wanted to minimize the risk. As for my family, I have sent them videos and photos as well as held video conferences which really helped eased my feeling of not having the family involved in my pregnancy.