There are two.
"Bicycling Coast to Coast: A Complete Route Guide Virginia to Oregon" is better for the average cyclist who is doing considerable camping, but it is now 18 years old so a number of things in it are out of date. The route itself has changed many times since then, and the restaurants, motels and campgrounds cited may or may not be there. Nevertheless, it's good to read.
"The Complete Handlebar Guide to Bicycling the Transam Virginia to Oregon/Washington" is better for cyclists doing mostly motels. It has less detail about the route itself. It has a 2014 publish date, but I don't know if or how much it has been updated in the new version.
I have both. They are interesting to read, but neither is a suitable substitute for the ACA map set, and neither is probably worth the weight of carrying them along.
You can learn almost as much by reading TransAm journals over at crazyguyonabike.com.
Note that the abbreviation "TAT" is most commonly associated with the motorcycle coast to coast route. The bicycling route is sometimes abbreviated "TA" or "TransAm".
Fly to Newport News and ship your bike ahead via FedEx or UPS (to Grace Epicopal Church, to a local bike shop, to a Warm Showers host, or to your first-night motel). I used FedEx. Use a free cardboard box from your bike shop rather than your travel case. Throw the box away at the start and get another at the finish. It's only about 9 miles from Newport News to Yorktown, so you could take a cab, hitchhike, walk, or see if your motel or Warm Showers host will pick you up. I had somebody pick me up.