If you keep it inside, the florescent light will do it good, especiall if the indierect is on the dim side, if it stays bright you may not need it. Do you have a chance to check w/ Pauline Muth re these issues, I am almost thinking that your full sun wouldn't hurt it, she would give you that info without a doubt.
Are you part of thier club? If not, if you don't mind I suggest that you join, it a good and active club, I think you would do well to check them out.