The spectrum of most GaN on sapphire blue LEDs pretty much cashes it in at around 400-410nm. If you want some significant near-UV, get some Radio Shack #276-311 or other GaN on SiC types, and filter their output with Wood's glass, or glass from a broken blacklight bulb.
One way to EASILY see the difference between ordinary bright blue (like Nichia or Luxeon Star) and the whitish/violetish blue of the Radio Shack type is to shine both through the glass of an incandescent blacklight party bulb.
The Nichias and other GaN on sapphire (including Photon, Infinity, and Asp Sapphire flashlights) will show through as a dim, deep blue, while the Radio Shack model will appear as a brighter, vibrant violet color; since it has a much higher emission closer to 400nm than Nichia blues do.
The Radio Shack or other GaN on SiC blues that produce significant near-UV output (significant output from 395-430nm) can also be identified by two other methods:
1: When lit, the color will be a whitish blue with a violet tinge under some conditions.
2: Looking inside the bare LED (lit or unlit), you will see a small cubical LED chip with a single wire leading to its center, rather than two wires connecting at the corners of a much larger chip.
As for fluorescence being noted with Nichia LEDs and Photon, Infinity, and other blue LED flashlights, it is the blue light causing the fluorescence, not some amount of UV. Even green LEDs and green laser pointers will cause some materials to glow bright orange.
Shine a green Nichia LED or a green laser pointer at a day-glow traffic cone or a pink or orange Tektite flashlight body, and this will become apparent. They will also fluoresce with a blue LED.
The pink strip across the top of Priority Mail postage will also glow strongly under any blue LED, and to a lesser extent, to a green laser beam. So UV isn't necessarily needed to cause things to glow all funny.