I think that Frodo, Bilbo, and Gimli would have been allowed to go to Valinor. It was just the Elves involved in the Rebellion of the Noldor who were "condemned" to live in Tol Eressea, not in Valinor. Considering the personal sacrifices that those three made, I think it would be unfair to prevent them from coming to Valinor. After all, how would Frodo be healed? I'm sure that he must have needed a little shuteye in the gardens of Lorien.
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But Melkor also was there, and he came to the house of Fëanor, and there he slew Finwë King of the Noldor before his doors, and spilled the first blood in the Blessed Realm; for Finwë alone had not fled from the horror of the Dark.
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