after you upload the file, you could do two things
1. assuming you wait long enough, and the status changes(auto-refreshes(Async Ajax type request)) be in recording mode till it is changed to Active; then capture it.
or
2. Refresh the page and capture the post.
then add a simple for loop with some wait in it. keep looping until 'active' is found. add a timer and report a datapoint in controller or add a transaction out of the for loop. inthis case you dont want to use lr_thinktime so use a sleep();
both of them will not give you an accurate response time, but it will be close, then apply a standard deviation or percentile.