It's worth a try. A OS refresh leaves the partition table alone. I assume it's the only thing you haven't tried, as you've only done refreshes and not clean installs on fresh made partitions.
So when you get to the install phase, select Custom and when asked where to install Windows, you should see your partitions (probably two) highlight each partition on your SSD and delete them so that all you're left with is one entry in that window showing all unallocated space. You might want to have any other drives disconnected just so you don't accidentally delete any other partitions on other drives.
Then highlight the drive and click New, just leave it at the maximum size. It will say that it needs to make a system reserved partition, let it, and the install should proceed.
Of course before you start all of this, you should have a backup of anything that you need off of this drive.