Keeping secrets with a protected muck

Hi,

So a game I play in has the rule that anyone at the table can ask to see the hole cards of anyone that went to showdown. Semi-standard, I understand.

The catch is that some dealers have what amounts to a "protected muck."
For example, one dealer keeps the muck in a neat pile right in the corner beside his chip rack, somewhat guarded by his arm.

Sometimes I want my hand to go in the muck and be unrecoverable, so people will stop asking to see my cards every time.
But I can't do this unless I sit in the seat right next to the protected muck.

Do I just live with this, or can I do anything?

Thanks!