Hard to imagine you'll get anything "semi-custom" ready by X-mas, so have you considered just an off the shelf Savage? Hear me out...
I'd never again buy an OEM Savage to shoot, due to some pretty severe history, but I do love them as build platforms (just finished a 264WM). If you're planning for "semi-custom", dropping $500 on a complete rifle (used or good deal new) might solve the "Before X-mas" problem, and provide an opportunity for Dad-Daughter bonding going forward.
1) You can get something in hand to lay under the tree, so you get the cool points ASAP.
2) THEN, you thoroughly involve your daughter in the "build" over the next couple months.
As for stocks, the options are VERY slim compared to 700 pattern, but at least you're looking at short action, which is way better than long action. I'm personally a fan of the bog standard Savage Tupperware Accustock.
Summary? Perhaps buy an off the shelf Savage, then enjoy guiding your daughter through the process of deciding what SHE wants!