I read all of this and everyone has had times of being frustrated by callings when working under someone who doesn't know how to delegate.
Here is the best solution I have ever been able to find to serving in the church and being fulfilled. Now, whenever I feel like this, I just try to look around to see who needs to be fellowshipped. The church is FULL of people who don't feel welcome, are struggling with issues, don't have friends, need a helping hand, don't know how to ask...are weak in the gospel.
You sound like someone who has some experience in the church and stands on higher ground. Don't worry about what you are being given to do....do what you have been given, then focus your efforts on reaching out and making a difference in these peoples life. Or go find someone to fellowship into the gospel and work to build that friendship/relationship...
There is so much to do out there...if you just look around, you will not be bored. Soon, your President will be offering to help you in your "projects" as that will be where the action is!
Nobody needs a specific calling to fellowship those less active members of the ward, or to do missionary work with your friends. And these are the activities with the greatest rewards available! Much more fun than doing PPI's or keeping the rolls. :)