I'd probably say to try different wines before doing a kit. Yes, trying out different wines is probably going to cost more than a kit... you know, unless you feel like driving to a winery.
Try some fruit wines (cherry, blackberry, and strawberry are common) even those are different. I think Cherry Republic's Balaton was sweeter than their other 100% cherry wine for example.
Try some Sweet Reislings and Gewurztraminers (Make sure you pick sweet, since they also can have semi and dry.) (See
http://www.cgtwines.com/wines_rieslings.php)
Definately try some arbor mist type wines.
Try a white zinfandel, those tend to be a bit sweeter as well.
Even then, it's definately hard to pick because, for example, just about every winery in the Michigan region has a reisling and a cherry wine, but each winery's reisling tastes different, even if you try all their sweet ones.
If you can find a place that does wine sampling try it out. It seems Indiana has a *lot* of wineries you can visit.
http://www.indianawines.org/wineries/?loc=map (Mental note, take a wine tour of Indiana)
For example, you said she likes at least one wine from Oliver Winery. Go visit Oliver winery and go through their sample list. Maybe make several trips because it looks like they have lots of different wines.
Depending on state laws, sampling can be free or may incurr a charge or may limit samples per visit. Sometimes they charge you to buy a glass with their logo on it and the sampling is free after that. This is only from my experiences in mostly Michigan tasting rooms, as well as several stores that offer wine sampling. It could be different in Indiana vs ohio vs Maryland vs California, but probably not by a large margin.
Alternatively, you can get friends together and do some wine tastings of your own, everyone brings a different bottle so you can get a small sample of each one without having to drink too much of any single one.