I love the idea of the Moebius strip. Only one edge on a circle that cannot be straightened out. I used the Cat Bordhi cast on and a Drops pattern to make this Moebius wrap. It worked out really well.
The only problem with a project like this is that the rows are all really long as each one is a figure 8 once around the top half of the wrap and then back around the bottom. It feels like it is going really slowly when there are 280 stitches in a row!
I used a 6mm needle to get 14st/10cm and adjusted the the number of stitches that I cast on to suit. When knitting a moebius strip it is coiled up so you can’t really see how big it is until it is off the needles. You really need to work out what your tension is going to be and calculate the width you need and the number of stitches to cast on then trust it will be ok.
This really is a case where some planning before you start is necessary; if you get it wrong you won’t know until you have cast off.