[curt.clifton]

Once you have the context or project list up (granted, that takes a couple of taps), start typing any sequence of characters from the context or project you want. For example, i type 'onl' for my Mac:Online context. The list will rapidly narrow to just what you need. Then it's two more taps to finish up.

I used to use the drag and drop technique on the desktop, but switched to this autocomplete approach when my project and context lists got too big for easy dropping.

That said, use the Contact Omni link in the gear menu to submit your drag and drop feature request.