Irazu Volcano NP
Irazu Volcano is only an hour away from San Jose. Species like Black-capped Flycatcher, Flame-throated Warbler, Black-thighed Grosbeak and a few other highland birds can be observed rather easily. Volcano Junco is found at the top near the crater. A restaurant near the park entrance has hummingbird feeders and can usually produce Volcano, Talamanca, and Fiery-throated Hummingbirds.
Irazu's high forest is also a good place to observe the Central American race of the Hairy Woodpecker - a significantly smaller and browner version of the Hairy Woodpecker observed in the United States. Acorn Woodpeckers are also fairly common.
Stopping along the way, I have seen Resplendent Quetzal, Costa Rican Pygmy Owl, and both Silky-Flycatchers. It's an easy place for highland species especially if you are pressed for time.