For that kind of work I would probably go with the E1B. I have both and the E1B has more throw, although the Ra isn't too bad. For my EDC I choose Ra, but if my dog ran away in the woods, or a guy robs a grocery store and flees armed in the woods behind my house (yes this really happened), I would greatly prefer the E1B.
You can do like I did and get them both. I picked up a used E1B under $100 and a used Ra EDC Executive (older 120 lumens) under $100. I like the Ra so I'm gonna shell out the $150 for a current generation in July (bday gift to myself).
Also something to consider, the Ra has a optional holster, although I've never used it. I would not trust the E1B clip on my belt while running, although for normal, non-LEO stuff, I would definitely trust the clip.