The issue you have is time, not adventure options.
If you want hike in a jungle for 3 days, and sleep at the Ranger Stations, in a park consider one of the most Bio Diverse in the world, then you need to book a excursion to Corcovado, in the Osa Southern Zone. This requires a guide/permit/reservations. Its best to base in Pt Jimenez, where you would leave all gear but a change clothes. Allow 4-5 days for the this, and you need to have everything arranged now, before going to this remote park, 9 hour bus ride/car ride from San Jose, best to fly in/out with limited time..
22Km hike Day, 18KM hike day 2. This requires leaving PJ at 430 AM in order to be at park Entrance to sign in by 7AM...
The other option if this hike sounds too grueling, which it is, then base in Drake Bay and access the park and ranger stations, with a possible pre arranged overnight, via boats. Guide/permits are part of the package from any trip in DB.
But there is a lot of wildlife, nature and bio diversity in other key parks and areas, that are easier to access and less hassles-
Sarapiqui-La Selva- 25 KM of hiking paths, but you need to stay in the park and at the park lodge for access. Otherwise, you can only in the park as a guided nature tour from 8-12. This park and private research foundation is one of the top parks in the world for tropical studies, all guides and scientist researching there... 1-2 nights
Tortuguero Rainforest & Canals, this very complex eco system is teaming with nature and wildlife as well, acess via canoe, kayak, boat and hike paths. 2 nights
Cahuita- NP is great hiking, snorkeling, swimming, surfing. 1-2 nights
Manzanillo -Ganduca is a remote marine park with lagoons, reefs and trails via hike paths or horseback, can be very muddy, guide is best, trails not marked well. 1 night (bicycle or bus from beach villages)
Cano Negro is wetlands, everglades, and river systems as far as the eye can see, accessed via boats. great fishing too. 1 night
Rincon is excellent hiking, with waterfalls and mountain climates, breezes and landscapes. 1-2 nights.
Rafting the Rio Pacuare, though jungle, rainforest, waterfalls and Indigenous Indian lands. Top 10 River in the Americas to raft, a blast, gorgeous and one of the best activities in the region, and country.
These areas above will afford you the most wildlife, nature, bio diversity, and few tourist and great exposure to what CR is all about.
With just 8 days, I would consider Sarapiqui>Tortuguero>Cahuita>Beaches>Raft Rio Pacuare back to SJ as a day trip.
You need to be prepared for rains, at times very heavy, as its rainy season, May to Nov. June/July the entire country is wet, its the tropics and part of what keeps the rainforest and nature in full bloom, very active with animal life and fauna. I always go in rainy season....But Oct is the worst, and best avoided, Corcovado is even closed that month.
Get you hands on the National Geographic Explorer Costa Rica at the local bookstore or library, to see what the country has to offer and the above suggestions.
The Big 3, Monteverde, Arenal Volcano and Manual Antonio are best avoided, tourist, limited nature/wildlife in comparision, and more for package tourist or people following the masses.
The caribe beaches are also a good scene for solo backpackers...Pt Jimenez for nightlife, stay south of town...
Have Fun...
The other option