First time I've seen Annie Battle mentioned on the www. We've vacationed at Ottertail for 25+ years and AB was closed for about 5 years in the mid-90s and we fished it right after it opened (as part of a new state park) and it was full of 13-14" crappies. That was about 1997. Lasted a few years but it seems like anything over 10" is fairly tough to come by now - very small lake I'm sure it got fished out of the big ones. Still a fun lake though, no motors or electronics allowed and no boat landing. Lots of bass too. They do rent canoes and row boats pretty cheap.
Never have fished West Battle but it seems like you hear decent reports. All of those lakes around there have their moments it seems. Make sure to try Zorbaz nachos.