There are certain relics and weapons that allow a double to be turned into any single. Then subsequently a certain trait if rolled becomes a further roll, choosing either result. E.g I roll a double and have an item that lets me turn it into a Might result. I have another item that when Might is rolled I get a further roll and choose either result.
Is this combination allowed?
I would say no, as you didn’t “roll” might. You changed a die roll TO might.
But not only that, if you have a choice to pick something you need then why would you need to roll again?