Congrats on the new rifle! Looks like she should shoot pretty well.
I was at the Sportsman's Warehouse last night and I saw a Vortex dot sight with adjustable dot size and brightness on sale for $160. I thought that it looked like a nice alternative to more expensive units. Clairity and mounting all seemed spot on. I would have bought it, but my HBAR has the sight/handle mounted permanently so it would sit too high for me, but on your new rifle to would be perfect and under your goal of $200.00