Not necessarily unconventional things, but things which the writer might not ordinarily or routinely do. From the context (prayer) I think that there is a implication that it is really "forces me to think outside the box), so the writer is not forced to do anything without due consideration. Finally in "outside of my box", the word "of" is redundant (though often used).
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Newguestoutside of my box,To be "outside one's box" means to be in a place that is not comfortable on an emotional level. But it can be a learning experience for new behaviors or ideas.
NewguestBut could it also mean "think outside the box" like UltimatePedant suggested?Think outside the box is a phrase that means "look for novel and creative solutions." I don't see the connection to your example.