Sorry to say this, but you're hosed.
Nike closed off all avenues (at least all of the ones that I knew about) for exporting data.
SmashRun can no longer login to Nike.
RunGap can no longer login to Nike.
HealthFit was never able to login to Nike.
The best that you can hope for is to use RunGap or HealthFit to grab whatever data is available from your iPhone's Activities list and then push that over to Strava. Not sure if that will work, and even if it did, I don't think the good stuff (GPS, HR, elevation, etc) will pass across, mainly due to what the NRC app pushes to the Health app.
DAMN!!!! I just noticed that this is an old thread.
To
@Rcaseytx, back in 2017 the OP could have accomplished this using RunGap. Nike closed off the last of its public API and backdoor hacks about 4 months ago. That was when RunGap stopped authenticating with Nike's servers. Most other methods (e.g. Smashrun) gave up way before that. You're pretty much SOL if you want to get your data off of Nike's servers. Perhaps a public post on their Facebook page might shame them into action, but don't hold your breath.
EDIT 2 - looks like Strava might have their own way of doing this, although I'm not sure if Nike closed it when they got rid of the website a few months ago. Read this link
https://support.strava.com/hc/en-us...ad-Nike-activities-to-Strava?mobile_site=true