Okay, since I'm having trouble getting specific results right now, here's what I recommend for finding a cheap place to stay near the Namsorak Exploration Information Center on July 17, 2025:

Look for Motels (모텔): Motels are generally a budget-friendly option in Korea. Search online for 모텔 near 속초 (Sokcho), which is the closest city to Seorak Mountain National Park and the Namsorak Exploration Information Center. Expect to pay somewhere in the range of ₩30,000 - ₩60,000 per night, but this can vary. Many motels do not take reservations far in advance, so check closer to the date.

Consider Saunas/찜질방 (Jjimjilbang): Jjimjilbangs (Korean saunas) are a very economical option, often costing around ₩10,000 - ₩20,000 per night. You sleep in a common sleeping area. Search for 찜질방 in 속초 to see if any are conveniently located. This would be the cheapest option.

Check Booking Websites (아고다, 부킹닷컴, etc.): Use popular booking websites and filter by price. Set your maximum budget and look for guesthouses or smaller hotels in the Sokcho area.

Local Tourism Information: Once you arrive, the Sokcho tourist information center might have updated lists of very local, budget-friendly options not available online.

Important Considerations:

July is peak season: Prices will likely be higher than other times of the year, so book as early as possible.

Solo Traveler Discounts: Some places might offer discounts for solo travelers, but it's not common.

Transportation: Factor in transportation costs to and from the Namsorak Exploration Information Center from your accommodation.

Good luck with your search! I hope you find a great and affordable place to stay!