In doing so you should have a look at other starting points, which can be significantly cheaper but which also allow more stopovers in North America.

For example, starting in, say, Paris, the base price for a DONE3 is $2577 less than a DONE3 starting in the USA. You could probably use one of your eVIPs (or just one-way miles) to get to CDG, then just head to Asia. If you did the trip west-to-east (i.e. start with Europe > Asia) you could get back to the US at the end and have a whole year to use up the six North America segments, with no need to worry about stopover limitations. You'd have to return to France before the end of a year to finish the RTW (oh what hardship) but in the meantime you could use it to do whatever other domestic/Mexico/Canada/Caribbean travel (in J or F) you needed to do.

Using this approach could earn you way more EQM/P than you'd make with the route you describe, at a considerably lower cost per mile/point.