Where did Rakshasas live during the time of the Ramayana?

According to the Srimad Bhagavata Purana, Rakshasas, Pisachas, ghosts, etc live in Antariksha loka, which is basically Bhuva Loka, which is right above Earth and below Swarga:

Text 5: Beneath Vidyādhara-loka, Cāraṇaloka and Siddhaloka, in the sky called antarikṣa, are the places of enjoyment for the Yakṣas, Rākṣasas, Piśācas, ghosts and so on. Antarikṣa extends as far as the wind blows and the clouds float in the sky. Above this there is no more air.

 

Text 6: Below the abodes of the Yakṣas and Rākṣasas by a distance of 100 yojanas [800 miles] is the planet earth. Its upper limits extend as high as swans, hawks, eagles and similar large birds can fly.

Does the Ramayana say the Rakshasas lived in Antariksha loka or somewhere else?

Where did Rakshasas live during the time of the Ramayana?

According to the Srimad Bhagavata Purana, Rakshasas, Pisachas, ghosts, etc live in Antariksha loka, which is basically Bhuva Loka, which is right above Earth and below Swarga:

Text 5: Beneath Vidyādhara-loka, Cāraṇaloka and Siddhaloka, in the sky called antarikṣa, are the places of enjoyment for the Yakṣas, Rākṣasas, Piśācas, ghosts and so on. Antarikṣa extends as far as the wind blows and the clouds float in the sky. Above this there is no more air.

Text 6: Below the abodes of the Yakṣas and Rākṣasas by a distance of 100 yojanas [800 miles] is the planet earth. Its upper limits extend as high as swans, hawks, eagles and similar large birds can fly.

Does the Ramayana say the Rakshasas lived in Antariksha loka or somewhere else?