Hi there, I've been having a somewhat similar problem myself with my 2014 F150 3.5L XLT, was perusing the forums and came across your issue. Realizing its been over six months since your last post, hopefully the following may be of use for you.
I found this problem on the F150forum.com that someone had two years ago, which turned out to be the pinion bearings in the front differential which had managed to walk themselves out 1 or 2 mm. It played out like IWE issues very closely. I shim kit for the pinion bearings apparently is the 'third way' fix. Here's the link:
2015 - 2020 Ford F150 - IWE vs. Check Valve - I complained twice to the dealer about grinding in the front. First they said nothing wrong and next time they confirmed grinding and replaced a check valve Now the grinding is back, not always, just once in a while. Are these two separate issues? I...
www.f150forum.com
If you're still stumped, maybe that is your solution.