One thing to settle before the method, because it decides how much of this even matters: how much of that super are you actually taking?
The colony needs stores to get through winter, and how much varies enormously with where you are - a mild winter needs a fraction of what a long cold one does. Work out what your area's beekeepers leave, and treat the surplus as the harvest rather than treating the harvest as everything above the brood box.
Why this matters for your question: if the honest surplus this year is three frames rather than seven, the extractor case collapses completely and crush-and-strain is obviously right. First-year and second-year harvests are usually smaller than the frames suggest, once you have left what the bees need.
Two practical points while you are in there:
Only take fully capped frames. Uncapped honey has too much water in it and can ferment in the jar. If a frame is part capped, either leave it or take only the capped section.
Do it quickly and keep everything covered. Open honey in an apiary at the end of a flow invites robbing, and a robbing episode is a much worse day than a smaller harvest. Work in the evening if you can, and get the wet equipment out of sight rather than leaving it for the bees to clean up in the open.