I've had a US Bank secured card for years. I didn't try to un-secure it as I didn't want the HP. But I did apply for other cards. I now have multiple cards with $15k - $17k limits each.
I've been receiving pre-approved offers from USB over the past few weeks for other cards so I finally called on Saturday. They assured me that converting the card will not require a hard pull. They'll look at my behavior with my us bank accounts. We shall see.
More than enough credit.