What are your power needs? If I remember, UV LEDs are 3.4 volts 20 mA each, so only about 3 in series for 12 volts. 30 LEDs, 3 in series X 10 strings is 200 mA. Think a 555 can barely handle that to flash them in astable mode. Your solar panel will need to be able to produce about 18 volts to charge a 12 volt battery, current will be something like 20% of capacity. How long do you want to have these LEDs flashing?
May I recommend something more efficeint than LEDs for producing UV? Use a blacklike cold cathode fluorescent tube.
Most UV LEDs aren't even UV but violet between 400nm and 420nm which does have a weak black light effect but won't illuminate all back light reactive materials and they're no too efficient either.