Dryer vent through cinder block and then through yard - is this ok?
You can get duct that is rated for underground use. It's more expensive of course, usually stainless steel.

Your MUCH bigger problem with this idea however is that you are introducing a place for ground water to enter your basement. There is no good way to seal something as large and flimsy as vent pipe penetrating a basement cinder block wall. This will result in a long term nightmare that will be very difficult and expensive to fix. The only possibility I can think of is to use cast iron pipe, like a sewer pipe, with an approved wall penetration method and all joints sealed against water leaking IN to the pipe and thereby into your basement. Making your dryer vent connect to the cast iron pipe may be a challenge, but creativity should win out.

But rather than that, I would call a "concrete coring company" as ask about them coring a hole for you in the stone wall. It's done all the time.