NodaTimeModelBinder.cs

public class NodaTimeModelBinder : ModelBinderBase
{
    private readonly JsonSerializerOptions serializerOptions;

    public NodaTimeModelBinder(ILoggerFactory loggerFactory) : base(loggerFactory)
    {
        serializerOptions = new JsonSerializerOptions {PropertyNameCaseInsensitive = true};
        serializerOptions.ConfigureForNodaTime(DateTimeZoneProviders.Tzdb);
    }

    protected override async Task<T> BindCore<T>(HttpRequest request)
    {
        return await JsonSerializer.DeserializeAsync<T>(request.Body, serializerOptions);
    }
}

public class Startup
{
    public void ConfigureServices(IServiceCollection services)
    {
        services.AddCarter(configurator: c =>
        {
            c.WithModelBinder<NodaTimeModelBinder>();
        });
    }
}