Well I can certainly understand why you feel intimidated by this intersection. I'm glad you posted it though because very often the devil is in the details. I have a similar intersection I occasionally cross (although not on my commute). At first I simply stayed to the right side of the through lane letting the cars turning onto the highway off ramp pass me on the right and held that position across until I cleared all the on and off ramps. I did this safely enough many times but it was always a bit unnerving so I finally asked someone who has to commute the intersection regularly what they did and they told me they got over onto the left shoulder before the road gets to the first off ramp and then stayed on the left shoulder all the way across the bridge, getting back over to the right side after the last off ramp. I was skeptical but it really works quite well. This avoids all the conflicts at the on and off ramps. It may mean that you will have to stop and wait for a break in traffic to get over to the left shoulder and back but it looks like you've got some traffic signals that should provide the gaps at each end of the bridge so I don't think that should be a problem for you. If you are wondering if this is legal, fortunately Virginia law has a provision that allows you to ride on the left shoulder of a one-way street and since the Greenbrier Parkway is a divided highway at the I64 bridge the Parkway is technically two one way road ways (one in each direction) at that point so riding on the left shoulder there is perfectly legal. It looks to me from the satellite image that the left shoulder is wide enough for a bicycle but obviously I can't tell for sure. You can still legally ride on the left side even if you are into the lane a bit and it is probably still a better strategy than staying on the right but it should be more comfortable to just have the shoulder to yourself. I think you will find this is very doable. Let us know if you give this a try.