My kids graduated a couple years ago, but I still pay attention to the youth hunts a bit.
Deer- I'd say it really boils down to where you want to hunt. Access or familiarity would be my primary factors. Lot's of options; there's deer in all of 'em. That said, I doubt I would apply in a far off unit I know little or nothing about. The WDFW does a good job at providing youth options for deer that are well spread out so folks can hunt closer to home or in GMUs they are likely familiar with.
All of the deer hunts are antlerless/any deer/any buck, which give the option of a doe or smaller buck than general seasons in those units allow. Most run at the same time as general season. Basically they're designed so a kid has an easier time finding a shootable animal in an area the family would likely be hunting anyway. Some on the westside at least open a week early. Weyco does allow Skookumchuck youth hunters in without a permit last I checked.
Elk- Most of the westside elk are the same deal. What area do you want to hunt or are already familiar with? A lot would depend on timber company access, most of which will be sold out before you would know if she drew a permit. Toutle has plenty of state land. The only bull hunt is Mudflow which is on public ground, but steep odds of drawing. Some like North Bend and Skagit are easier to draw, but are completely on private. On the plus side you'd have a lot of time to try and secure access.
I wish your daughter good luck with the draw and hunt!
