Bill, Glad your coming over The Pond to see Rt 66 and what else here in America you haven't seen yet!
In Texas Okla New Mexico where I-40 has taken the new pathway of Old Rt 66 it is hard to see what is left of the old original Route. With a little digging you can retrace "parts" of the original roadway IE...in Amarillo TX..Amarillo Blvd is part of the original Rd. out west in the Vega, Tx area the old Roadway skirts the Interstate while going through the small towns. Well worth seeing the old architecture, buildings, abandoned buildings and such. Bob Phillips of "Texas Country Reporter" Did a segment once about the Texas portion of old Rt 66.
Also, so you know in the High Plains where the Rail Road tracks skirt the highways there is a small community, Town, or large city every 10 miles!!! Why??? Water stops for the old Steam Locomotives. That was so the Locomotives were never more than 10 miles from water when they were running hard and fast. Just look a Hwy 54 across Kansas, Okla Panhandle, Texas Panhandle look at the Towns, Cities, Whistle stops along that stretch of Highway! Something! every 10 miles! Start at Guymon Okla. and look East and West.
Hope you find this interesting. I see no reason why you couldn't do a Rt 66 trip in some sort of RV. Just check KOA camp grounds, Keep a list of Good quality hotels and motels when the need arises. Restaurants and Eatery's and Points of interest along the way.
A Motor Home/Coach, no tow car, the RV is every thing, Home Sleeping Qters, and basic transportation to sight see get groceries, etc, etc. A Motor Home/Coach with a small car in tow for excursions, sight seeing, getting groceries, etc,. A Pickup and 5th wheel or bumper pull trailer, the trailer get parked and the Pickup will eliminate the need for a tow car. but the Pickup will need to be some larger depending on how many are in your traveling party! Hope this helps. Hove Fun take lots of Pics Later,