So I moved to the obvious answer - which accomplishes the test - but does not give access to the httpie information. There may be a better way - I was hoping to have access to the httpie header information so that I did not need to hit the page so many times, but rather could just look for the rate limit set that httpie provides data on.
public function test_api_throttle()
{
$this->be(User::find(1));
$a = 1;
while ($a < 61) {
$this->be(User::find(1));
$this->visit('http://art-t.dev/adrs');
$a++;
};
$this->get('/adrs')
->seeStatusCode(429)
->see('Too Many Attempts.');
}