It is possible to use short-term rental/AirBnB/hotel, and visas have been granted using it, but it’s usually used as a last resort option.
Normally what happens in the situation where the UK sponsor has been living abroad is either:
- they get permission from family or friends in the UK to live with them (most common option)
Or
- they travel to the UK ahead of applying for the visa and sign a lease for rental accommodation, then get a letter of permission from the landlord that the applicant can live there too, and travel back to the US with the signed lease and letter to apply for the visa
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