+1 on tri shoes. They are generally much better ventilated, designed without a tongue and fewer closing mechanisms, most do with essentially one big Velcro strap.
I’ve had pearl izumi, Sidi and now switched to Lake. All solid products if they fit your feet.
If you’re used to 3-strap road shoes then tri shoes will feel a bit floppy in the beginning. But you will get used to it and your performance indoor shouldn’t suffer.