Not sure what your access looks like in OH, but normally there should be a couple ski shops affiliated with the race club where you can find proper race equipment. Usually a racer discount in effect as well. Usually more than going online, but should be offset by the service and direct expertise they give you. (this varies depending on what you have available)...might be some good end of year deals right now too.
The race club coaches (I'd normally speak to the head coach or the age group head coach) and they can recommend what they like to see for equipment. If you are looking used, other club parents and the ski swap is a fantastic resource. For myself, given a lot of "race" skis that the kids have at the 5-7 year old range are not much more than typical junior skis with "race" graphics, I ended up just buying our gear new to ensure I got what I wanted for my daughter.
I find choices to be greater online (obviously) but need to do more research on what exactly you are looking for.
Here are some shops with online presence I've found to be great. Give them a call directly as I find their staff very helpful and very knowledgeable.
https://raceskis.ski-depot.com/ (where I've normally ordered from)
http://www.the-raceplace.com/Alpine-Race-Skis-s/6314.htm (never used but heard good things)
ASOGear on Ebay. (based in Ontario Canada) but has a great stock of new stock of last year or older models for great prices.
Depending on your daughter's height and weight (or what it might be mid next season), this might be a good option and available in 120cm.
Also in case this you did not already know, a helmet with hard ears is a must for the racers; be prepared to spend some coin here as there is a massive price premium over comparable "soft ear" helmets for kids. This is also where you'll need to go into the right ski shops to get a proper fit (as they are all slightly different in how they are sized....some variants in the same brand across different models as well). Should get racer discount on this. Most commonly you'll see kids wearing the POC helmets. They are spendy but one of the few (if not only) that offers multiple impact protection for a kids racing helmet. Most important is that the helmet fits properly.
Hope that helps.
On another note, if racing is something you think your daughter is going to gravitate to, be prepared to buy a bunch of tuning tools and learn how to use them. Often SWIX or TOKO will have a wax/tune clinic for the race clubs where you can learn a bit, but most importantly get some great pricing on their tools/wax because you attended the workshop.