How do I create an Arbitrary for a System.Type?

I am attempting to initialize my model entities using FsCheck. The models live in C# and are normally initialized via Entity Framework via their private setters. For example (contrived):

public class Model
{
    public string One { get; private set; } 
    public int Two { get; private set; } 
}

I would like to create an FsCheck generator that automatically uses the registered generator for each property to produce the model. Something like this:

let modelGenerator = 
    gen {
        let incident = new Model()
        typeof<Model>.GetProperties()
            |> Array.filter (fun p -> p.CanWrite)
            |> Array.iter (fun p -> 
                let! newVal = Arb.generateType p.PropertyType // I wish I could do this
                p.SetValue(incident, newVal))

        return incident
    }

There are two things wrong with this:

1. The let! can't be used outside of the gen computation expression.
2. Arb.generateType doesn't exist, and I can't find a way to do its equivalent

Is it possible to create a generator that will automatically set the private fields on my model?

With the power of reflection, everything is possible (or throws at runtime).

module Arb = 
    open System.Reflection 

    // this is just a helper type to do reflection on. 
    type internal GenerateInvoker = 
        static member Invoke<'typ> () = 
            Arb.generate<'typ>
            |> Gen.map box

    // Invokes a generic method using a runtime type as a generic argument.
    let generateType (typ: Type) =
        typeof<GenerateInvoker>
            .GetMethod("Invoke", BindingFlags.Static ||| BindingFlags.NonPublic)
            .MakeGenericMethod([|typ|])
            .Invoke(null, [||]) :?> Gen<obj>

let modelGenerator = 
    gen {
        let incident = new Model()
        let props =  
            typeof<Model>.GetProperties()
            |> Array.filter (fun p -> p.CanWrite)

        // gen builder implements For, so you can do something like this. 
        for prop in props do 
            let! newVal = Arb.generateType prop.PropertyType
            prop.SetValue(incident, newVal)

        return incident
    }

Gen.sample 1 3 modelGenerator