Though Claire didn't protest him moving then around again, she wanted to be out there, hunting Sylar down. She wanted to be tracking where he'd posted from, canvassing the areas around it, finding him and calling in her sister. She wanted him in their grasp, to pay.
But with as tightly as Dean was holding her, she didn't think that would be happened without a fight, and she simply didn't have the fight in her to do it. That he was still holding on, so insistent that things would be better eventually, made her want to make him see what she saw, but maybe he needed to hold on to her.
She was numb, but she didn't think she'd been wiped clean. She loved him and that was still there, in the heart gripped by the numb cold. She had to believe that, even if she couldn't believe right now in her other emotions still being there.
So she tucked her face against his neck as she cried those dry cries and prayed for some change in her, or some answer to fixing this. Maybe, maybe, when she woke up, it would all just have been a bad dream.