Rising Card, problems with the elastic thread

I'm having a little trouble with this trick. I'm using 0.4 transparent elastic thread (honestly, it's the thinnest I could find).

The problem is, if I adjust it too tightly to the two cards, it's really, really hard to get the chosen card between them...and don't even get me started on trying an overhand or any other type of shuffle afterwards. If I don't adjust it tightly enough, it's too loose. I've tried various adjustments, but I can't find the sweet spot... I'm not sure if the thread is too thick or if I'm doing something wrong.

I've uploaded an unlisted video (so it can only be seen with the link) explaining what's happening; I think it's easier to understand in a video than in words.

Hope you guys can help!