Not sure about dallison13, but my setup is what you list, except I am still on WatchOS3.
As long as you are on iOS 11 and have the RunGap beta, you should be able to export all data including GPS coordinates to Strava. WatchOS4 isn't required.
Watch os4 has removed the map from the workout/activity app (watch series 1) so it can’t be exported to run gap because it’s not there anymore.
I ran today starting the watch workout app with my iPhone with me and the post run check of the workout in the activity app now shows no map.
So not only have they removed the music functionality links to the iPhone but the workout maps have gone as well - obviously to get everybody to upgrade to the new watch.