Thanks for the suggestions.

I decided on LHR because it is easy to get to from MIA and the RTW is cheaper than from the USA.
We have made several RTW's over the years. This one has the objective of visiting or revisiting some places we enjoyed and go a long way toward again qualifying for EXP.
Tentatively the trip starts in mid March and is
lhr-syd-drw-per-nrt-bkk-nrt-sin-hkg-jfk-scl-ipc-scl-mad(x)-amm-dxb-lhr (61320 miles).
I will break the trip up when I get back to JFK and resume about a month later. The places that are visited for milage or routing are: nrt (twice), scl (repeat) and mad.
I really want to visit:
Europe -- AMM and DXB
SP -- SYD, DRW and Perth
Asia -- SIN, HKG, and BKK
South America -- SCL and IPC
If anyone sees a better routing that does not significantly reduce milage, please let me know.