The only issue you will have with using the standard dies on an AI case is the blown out shoulder. You will need to be careful that your not squeezing it in when you run it into the die.
From the sounds of it you have enough tension, just watch the shoulder, and get another die when you can. At some point, your likely to have to set the shoulder back just a tad to be able to chamber, depending on the reamer size, will depend on when that is.
Good luck, the Ackleys can be fun even though they might not always generate much over the standard cases, they still are unique.