simulating call-by-name with case classes?

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I want a case class to have a call-by-name argument to its constructor. 

scala> case class Foo(s: => String)
<console>:1: error: `val' parameters may not be call-by-name
       case class Foo(s: => String)

ok, so I try creating an apply method in the companion object:
scala> :paste
// Entering paste mode (ctrl-D to finish)

case class Foo(s: () => String)
object Foo {def apply(s: => String) = new Foo(() => s)}

// Exiting paste mode, now interpreting.

<console>:7: error: double definition:
method apply:(s: () => String)Foo and
method apply:(s: => String)Foo at line 8
have same type after erasure: (s: Function0)$line2.$read#$iw#$iw#Foo
       case class Foo(s: () => String)
                  ^

Of course I can create a regular class, but the class I'm writing is really a value class. Is there another way to achieve what I want?

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Regards,
Ittay