This park has a $4-$5 entry fee, but if you hike in above the kiosk (perfectly legal) you won't have to pay the fee. Beyond the kiosk there are many things to see and do, and they are worth the price of admission.
This “park” is about 5 miles long from end to end. There is a cache at each end of the park. This new cache is 2.6 miles from one end of the park and 1.95 miles from the other end of the park…in other words, the new cache is in the middle of the other two caches. (those are "air" miles)
Alert ! The Echo Location cache is gone, but a new cache has been placed further south of the bridge.
I doubt you could do all three in a day, unless you did some driving to different parking lots.
Of course there are intervening hills and valleys, and the roads wind in and out of watersheds, so it’s no straight-line trip (unless of course you’re a crow !).
If you seek this cache in June, July or August, I recommend you bring twice as much water as you usually do. The trail is mostly exposed to the sun but there are trees within 50 to 100 yards of the trail if you need shade.
Another thing I would recommend is long pants for summer-time travel. You will need to do a little off-trail work to get to the cache, and even on May 18, the foxtail seeds were planting themselves in my socks. Now I know what “gaiters” are for.Those seeds are pointy and painful !
You need to be careful which end of the park you come in from depending on your hiking abilities (or bike riding skills).
One desirable item in the cache is a Wilderness Press pocket size trail book with fold-out map of Tuolumne Meadows/Yosemite. There is also a pair of sunblocker glasses and the rest of the items are toys.
Happy hunting !