Gorilla Glue and Styrofoam? (10 point offer for best one!)?

hey everybody! i just drew a portrait of me and my dad on regular paper.. i was planning to stick it to styrofoam with elmers glue but then i heard that it wont stick. my only options are gorilla glue or scotch tape. im afraid i cant go buy anything because well, im only 13. can gorilla glue work to put them together? i dont want to damage the portrait too much if i glue it. for the scotch tape, i dont want it to show on the styrofoam because its for fathers day. anyone know if either of these work? please dont tell me about any other glue or tape i just wanna focus one these. include duct tape if you want i have that. thanks!