Hi Aveo2010, welcome to BLF! :+1:
Hum, there is a light - Lumintop EDC05 - that I don’t know if it has a bit of throw, once it has XPL-HI Led! But I can’t be sure as I didn’t see outdoor pictures so far.
It has memory as you asked, and 4 levels + Strobe and other special modes.
It can run with a AA (alkaline or Ni-MH cell) and with 14500 Li-Ion battery as well.
For a nice throw, you have the above mentioned Sofirn SF14 that has only 3 modes (Low, Medium and High), no memory, but a good throw!
However, please remind that most of these lights will work “better” and give higher outputs (including throw) with Li-Ion batteries than with AA cells!
Make a nice choice