Microsoft Surface Pro Keyboard

Since the Alcantara peeling is the issue, the fix is switching material — Alcantara is exactly what's degrading on you, so any replacement in the same fabric will eventually do the same thing.

Your Surface Pro 11 is compatible with the Surface Pro 8/9/X/10/11 keyboard connector, so don't accidentally buy a keyboard labelled only for Surface Pro 7 or earlier. Microsoft confirms that Surface Pro Keyboards are compatible with Pro 8 and later, while the older Type Covers use a different connector.

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Learn more about Surface Pro Keyboards and Type Covers

My honest take: since you want something that genuinely won't peel, go third-party with a plastic or synthetic-leather deck (Inateck or MoKo above) rather than another Alcantara cover.

Inateck KB05111 (Bluetooth, ABS plastic shell) — made of ABS plastic that's stain-resistant and long-lasting, connects via Bluetooth so it works even detached, and supports auto sleep/wake when the lid closes.

MoKo Type Cover for Surface Pro 11/10/9/8/X — built with scratch- and dirt-resistant leather material, Bluetooth, 7-color backlighting, touchpad, and a pencil holder.

The Inateck option is particularly interesting because it is much cheaper than Microsoft's keyboard and doesn't rely on Alcantara fabric.