In your budget, I would recommend you first find a narrow kerf (skinny) Jigsaw blade that cuts on the DOWN stroke. Then find a jig saw to go with it. Home centers around here carry these right on the shelf. Bosche makes one type of blade (but I personally dont care for their corded electric tools, so I would keep looking).
No issues in foam or exp pvc but when using a downcut blade in more dense materials hold steady presure down as you follow along your line to avoid the tool bouncing up and down. Cutting on the downstroke, it won't lift your printed vinyl at the edge. Since their are a vast variety of blades available for jig saws, this may be more versatile to you than a scroll saw, just to start out anyway.
Good luck Grasshopper.