In what way did they break? How do you carry them?
Could (TWS) In-Ears be an option?
I was pretty impressed with the Sennheiser HD 569, somewhat warm and maybe a bit wonky tuning (but pretty decent still, nowhere near as bad as the open HD 5X9), but with EQ they are superior to the K371 in my opinion as far as sound goes (especially imaging/soundstage) and available for 50-60€ in like new used condition quite frequently. However they aren't a marble in build quality either.
The Beyerdynamic Custom Studio could fit your bill, they sure are durable, however you would pay the price in sound quality (mainly, but not only tuning).