Re: need help finding a good budget flashlight
Consider the "itp a1 eos ss". (google search string)
For 33 bucks, you have a keychain flashlight. It is shorter than the 1xAAA lights, but a bit fatter.
The good news is that it can crank out up to 200 lumens and has a solid 40 lumen medium mode. Its 33 bucks and is stainless steel for better durability.
Note that you DO have to use CR123 batteries, but this isn't a big deal. You can buy them online cheap enough. Or, invest in a 16340 battery or two with a charger and get about 25% more brightness and no need to buy batteries again.
You did say, "not that small", but I figure if you can get it smaller and still fit your light requirements, why not?!
It has an orange peel reflector and has nice flood. Even the 80 lumen A3 that I have really lights up the backyard at night. The 200 CR123 version ought to be more than sufficient.
If you really want a bigger light, the itp A6 Polestar is a good candidate. Uses 6xAAs and can crank out tons of light in a flood pattern. Its 80 bucks, and I think its overkill for your purposes. It is surprisingly small though...I expected it to be bigger when I got it.