There are several synonyms for the phrase "had a picture of." Some alternate options include "possessed an image of," "held a representation of," "owned a photo of," and "maintained a depiction of." Additionally, one could also say "kept a painting of," "retained a sketch of," or "preserved a snapshot of," depending on the type of visual representation they possessed. Utilizing a range of these synonyms in writing can add variation to one's language and make it more engaging to read. It is important to choose the appropriate synonym based on the context in which it is being used.