Download Rider, and use it to generate a dotnet core 5.0 web api in F#.
That will give you a restful api using F# that you can immediately modify to build out an endpoint. Figure out how to add in authn/authz using just regular aspnet core and you'll be ready to go. I like dapper for data access in F#, but plenty prefer a more traditional ORM like nhibernate or EF6.
You'd be surprised how much you can do with F#, the only caveat is learning to read docs in C#. Since that's considered the lingua franca of .NET, almost all docs will be in C# and need to be transliterated into F#. This is a skill that only takes a day or two to learn.
That will give you a restful api using F# that you can immediately modify to build out an endpoint. Figure out how to add in authn/authz using just regular aspnet core and you'll be ready to go. I like dapper for data access in F#, but plenty prefer a more traditional ORM like nhibernate or EF6.
You'd be surprised how much you can do with F#, the only caveat is learning to read docs in C#. Since that's considered the lingua franca of .NET, almost all docs will be in C# and need to be transliterated into F#. This is a skill that only takes a day or two to learn.