The closest town of any size is Buena Vista. From there go south on US HWY 285 to CR 162. Turn West and head toward Mt. Princeton Hot Springs/St. Elmo. The paved road will turn into dirt before you reach the Mt. Antero Trail Head.
The Mt. Antero 4WD road starts out bumpy but is wide and easy. You should be able to drive any kind of 4WD rig to at least tree line. Above tree line the road narrows with sections of shelf road where two vehicles cannot pass. Look ahead for vehicles in these areas and wait in a wide spot until the road is clear before you proceed. Use your own judgment on where to park to start your hike. Your equipment and off-road driving experience should determine the safe place for you to park. The narrow shelf road has a pucker factor of 5 stars.
From the hardcore parking spot the hike will be apx. 1/2 mile with apx. 500' elevation gain. The cache is a decon container with a FTF prize: A $15 pair of movie tickets and a custom made ceramic n0wae keepsake.
14ers.com and TrailDamage.com has more information to glean.