and all of these are owner carry or assumption.
We are in Prescott, not sure if you are interested,
There are absolutely assumable loans available. VA are assumable but I believe you have to be eligible for a VA loan but I am not 100% sure, so further exploration may be worth it. FHA guide is listed below, Hope that helps.
4155.1 7.1.a Assumability Restrictions
All Federal Housing Administration (FHA)-insured mortgages are assumable. However, since 1986, FHA has placed certain restrictions on the assumability of FHA-insured mortgages. Mortgages originated before December 1, 1986 generally contain no restrictions on assumability.
Hope that helps.