Oh really?? That's a bummer...so I'm gonna miss out on all the good loot cause I can't pick Hard+ locks? That svcks.
To practice lock-picking when not a thief...
Do the Daedric Shrine quest (sorry, I forget which) with unbreakable lock-pick as reward. Besides trying to open every non-red wilderness lock you see, visit the various mage and fighter guild halls IF you are a member. Most of them will have non-red locked display cases you can practice on. Since you don't really need the contents of those displays, just work a lock until all but one tumbler is positioned. Then exit the mini-game and start afresh. If that feels too much like cheating then just work 'em all until opened.
A word of caution. Holding that lock-pick will slow advancement, and at some point stop in altogether. So keep collecting regular lock-picks off fallen enemies, and periodically store the Daedric one so updates come quicker.
-Decrepit-