Metes la data en un array $data

$data = array(
    'name'=>$contactName, 
    'email'=>$contactEmail, 
    'message'=>$contactMessage
);

En tu plantilla "view" podras usar estas variables

{{ $name }}
{{ $email }}
{{ $message }}

Y en tu controlador trabajas así:

 $contactName = Input::get('name');
    $contactEmail = Input::get('email');
    $contactMessage = Input::get('message');

    $data = array('name'=>$contactName, 'email'=>$contactEmail, 'message'=>$contactMessage);
    Mail::send('template.mail', $data, function($message) use ($contactEmail, $contactName)
    {   
        $message->from($contactEmail, $contactName);
        $message->to('info@domain.com', 'myName')->subject('Mail via domainh.com');
    });
    
    Al closure se le estan pasando los datos asi:
    
    use ($contactEmail, $contactName)