There is more than one way to hang a container in a tree. Sometimes all it requires is someone with far too much time on their hands and an evil glint in their eye.
First of all look up. That should be easy considering that you've been studying the natural beauty around you in a vain attempt to take it all in.
Next, formulate a plan to retrieve the container. It's big enough to see easily from the ground. That plan shouldn't include climbing the tree. That will only result in damage to the tree and to you. This is where a TOTT would come in handy. Which one of any myriad possiblities is entirely up to you.
Last, return the container to where you found it with your name on the sheet and the odd travel bug inside. It is large enough for most travel bugs but the bowling ball on a key chain won't fit.