Fluorescent paint could help on bits where inserting LEDs is not possible. You'd have to keep reapplying the paint, though, since it's not a permanent effect. You'd have to be wearing bodysuit for this method, and be in possession of an airbrush to apply the paint. And read the instructions & warnings, naturally.
You can also search for wider angle LEDs ("straw hat LEDs" etc). They are not as bright, but their light spreads more evenly across a wider surface. You can also sand a regular LED's dome to reduce the pinpoint effect a bit.