Shorts without any chamois at all.
The leather was originally to cover the 4-way crotch seam in wool knit shorts. It was only there because the fabric was so irritating and so bulky with all the seams meeting.
Folks rode bikes for hundreds and thousands of miles without padded chamois shorts for nearly 100 years. Padding came about as plastic and foam saddles came on the scene.
Try triathlon shorts or compression shorts or spandex running shorts/capris if you are finding the padded chamois to be irritating.
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