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I think that was the record at one point, but has been surpassed by another hen since then. https://www.guinnessworldrecords.com/world-records/70781-most-prolific-chicken "The highest authenticated rate of egg-laying is 371 in 364 days, laid by a White Leghorn (No. 2988) in an official test...

To address the question in the title: Probably any cross among those breeds will be fairly hardy. The best layers will probably come from crossing the hens that lay the most eggs with the rooster of the best-laying breed (I would guess the Barred Rock rooster, but I don't know that for sure.)...