How to prevent character model from leaning in front of inventory

Much of my inventory management time focuses on setting items to trash [x] or favorite [star] while comparing with currently equipped items.

Unfortunately, between the slow sway of the character and the slow sway of the inventory screen itself, while in comparison mode the right side of the inventory is often hidden by the character model. Axton is especially rude:

If I try to click the [x] or [star] blind, I often click the wrong one or accidentally equip an item I'm just trying to tag. Non-solutions:

• I can click-drag up/down to temporarily pull the character out of the way, but once I let go it bounces back to its original location.
• I can click-drag left/right to rotate the character model, but most rotations are even worse than the default.

Occasionally, though, the character model blessedly disappears completely:

Often it's this way if I go to inventory immediately upon starting. And sometimes this happens when I rotate the character model, but it's inconsistent. Just now I tried it with Salvador (didn't work) and Axton (worked about half the time).

Is there a way to make the character model disappear consistently?