Hey OP, just catching your thread.
My DS is state school educated & with 5 As at Higher had unconditional offers (ie wirh just these results, not taking his Adv Highers from S6 into the equation) from St Andrew's, Edinburgh & Glasgow (he didn't get into Oxford) for Maths. He decided on Glasgow (for various reasons, but it is highest in the league tables in Scotland for Maths), has finished first year & is so, so happy there.
In first year they do a combination of pure & applied Maths, and you can choose Statistics (as he has), Finance, Economics, Physics and a myriad of others from loads of other faculties, to a total of 3, so you have a wider basis in that first year. He also chose Earth Science as he's a bit of a Geographer too.
It's an intense course, constant tests, but he says that keeps you sharp. He said those without Adv Highers found it much tougher.
He's narrowing to Maths & Stats this year (with an elective for one term- he's doing a spot of philosophy for the hell of it- to allow that broadening again).
I was v impressed with the Edinburgh offer holder's day too- got a good vibe; St A's offered too late for us, and despite DN loving it there, DS wanted a big city uni.
I'm sure your DD will do well wherever she chooses.
It's tough when you're the parent OP & you have no knowledge of the whole application system. I was that first time parent last year navigating an Oxford application totally blind. Take your time, you have plenty time before the deadline.