What case, exactly, are you resting?
Bookcase? Braincase? Carcase? Cartridge case? (pardon... ;) Casebook? Caseine? Casement? Casern? Cigar case? Crankcase? Display case? Doorcase? Gear case? Glasses case? Gun case? (pardon again... ;) Jewel case? Lower case? Upper case? Medicine case? Mummy case? Pen-case? Pillowcase? Showcase? Staircase? Moving staircase? Spiral staircase? Winding staircase? Vanity case? Watchcase? Writing case? Hopeless case? Just in case? In any case?
As you can see, Kintamayama has numerous cases to select from, for to rest them. I personally vote for "just in case", in his case. He'd probably vote himself for "braincase", let me guess the case... (Laughing...)