Unfortunately, unless they were adopted from us or there are special circumstances (e.g. you’re fleeing domestic violence), we’re unable to help with this sort of cat as we prioritise animals with an immediate need.
Desexed cats can be privately rehomed responsibly so we do encourage you to try this first.  After all, you know them better than anybody else.  Reach out to friends and family and advertise on Trademe.
If the cat has been adopted from another rescue or shelter, get in contact with them too as there may be a safety net clause in your adoption contract.
If you are unable to rehome them yourself, please reach out to other shelters and rescues as some will happily take on this sort of cat.  You may need to look outside of your immediate area.