What app would you suggest to help transfer large files from an Android device to BlackBerry Z3?

Xender and Share it are not working. My android is ASUS A400CG

Perhaps moving it with an SD card?

SD Card or using a Cloud Storage option like OneDrive (are we talking a few hundred MB or a few GB).

I assume if you have a Z3 that we aren't talking about files in the GB range.