Don't do it! Double box them, then arrange to have them shipped by air in Winter. If they sit on the deck of a boat for three weeks in Summer, they WILL be warped, very possibly no longer playable.
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In three weeks they turn into one big vinyl mass from 200. The best way is to take them with you on the plain and pay extra luggage expense.
200 records isn't a big collection. You can also arrange air-freight on cargo airline of your choice to receive your package from destination airport in person.
Winter or Summer doesn't matter for air-cargo transportation.