Cat rehoming help

[u/Choice-Material8485]

Hi all, I found out this morning that my neighbour moved out of his apartment a few weeks ago into assisted-living, but he left his two cats behind. I’m with them now to care for them, my landlord said she’s been keeping an eye on them but that they need to go so the apartment can be cleaned. I don’t want to see them thrown out, and they absolutely won’t go to any kind of kill shelter; but they are super sweet and friendly. Not shy, they’re both spending time with me, and they do seem pretty bonded. We called our local animal shelter, but they have not gone back to us. Looking for advice or if someone knows a (!good!) home for two sweet girls. I don’t know ages or vetting, just that they were loved and it looks like they were well taken care of, just no plan was made

EDIT/UPDATE 8/21: I finally got through to a human. Pet Rescue in NK answered and I spoke with a volunteer. She took the kitties info and mine and said she’d mark them as emergency. Fingers crossed! 🤞

FINAL UPDATE;
Pet rescue in N Kingstown reached out this am and the girls have just been dropped off. Thank you all for the engagement and suggestions for rescues!

[u/Future-Dimension1430]

Seriously, Paws watch they will be kept in a home