River run is about 17 miles
Car shuttle about 40 miles/minutes(each Way)
Bike shuttle is about 12 miles. Easy ride on Kokapelli trail. Takes about 1hr 15min.
Some of the ride is road, some is single trackish. There are a few forks to choose from. If you see a small kokapelli trail sign take it, but they all go to the same place. A few roads go towards the rim but it is pretty obvious if you are heading the wrong way, hard to get lost. Good chance of running into some antelope on this ride.
As far as shuttles, here is a list from the blm website:
Moab Area Shuttle Services