agdm619 I couldn't agree more when you say "Being able to swap field order by dragging and dropping is way over due."! However, you can use the ability to remove (hide) and restore choices as a clumsy way to reorder choices in multiple choice, checkbox, and dropdown menus.
Edit the multiple choice, checkbox, or dropdown menu field for which you want to reorder the choices. Use the red x to delete (really hide) all of the choices but the one you want to be the new first choice. Click the "Hidden" link to reveal the other choices and add them back in the new order you want them to appear in. The choices are re-ordered and the integrity of your data is preserved.
I hope this is helpful. If you feel there is a problem with this workaround that I have overlooked, please let me know.