I generally take cotton thermal blankets when I go out to do outcall massages, along with flannel sheets. (Old habits die hard.... but I am trying to lighten the load!)
However, I do have two of the SeraSoft oversize throws (60x70 perfect for massage tables) which is made by Berkshire Blankets that PremoMT has commented about.
The serasoft oversize throws can be found at TJMaxx, Marshalls, Sam's Club and numerous other stores. (They also come in a variety of colors.)
(And yes I've even taken them with me a few times when I've had massage from other people... what can I say, it's "comforting" to me.)
I also talked a friend who does mainly MFR into getting a couple too, she saw mine and fell in love with it.
They're excellent for doing MFR as they drape wonderfully well since they're a bit stretchy, you can tuck it here and there and still have good range of motion. They wash up just as soft IMO, which is rare!