Did you know that the cost of a Flat Rate Envelope has gone up to $4.95? Was $4.80. Also, Delivery Confirmation is now 65 cents (wasn't it 55 cents?). So mailing the Round Robins will cost a little more. Also, mailing the larger Flat Rate boxes now costs more.
Also, the post office has a Small Flat Rate Box that can be mailed for $4.95 - same as the envelope. The box measures 8-5/8 x 5-3/8 x 1-5/8. I believe they've had that size box, but it wasn't considered Flat Rate.
Your government at work for you.