Hi linsay
Not sure because of your frozen shoulder how you are sleeping but Ive found that just using a mobile phone sock and making a hole at one end and threading a loop of chord through the hole and hanging the pump around my neck when I go to bed stops the tube from winding itself around me when I turn. The chord loop can be made as long as you like. Also a cheap fabric sunglass bag with drawstring one end will also work (99p shops) if you cant get a mobile phone sock.
Lastly something that you should already have with any luck and that is a skin. If you put pump in skin and thread a length of thin ribbon through the 2 holes at the end of the skin and then make a loop and knot it, you can use the skin at night instead of sock.