The potato milk referenced is Vance's. You can buy it at FM Specialty Foods in Flower Mound or online at:
http://www.vances.com/index.asp?PageAction=VIEWPROD&P...
This is a good tasting alternative. The downside is that you have to mix it yourself, which is actually convenient for travel.
You don't mention what brand of rice milk you're using, but Pacific brand is free of the bad hydrogenated oils. Palm kernel oil is only bad if it's been hydrogenated. Pacific brand also makes Almond and Hazelnut varieties. Diamond brand also makes a good tasting Almond milk. I mention all of these as they are also gluten-free, which my kids must avoid as well. My kids also prefer the vanilla flavored of most of these milks. I try to rotate the various types of milks as if you're prone to allergies, you can actually become allergic to rice.
I definitely recommend you stay away from the soy milks as they're finding that they're not nearly as healthy as they're touted to be: http://www.mercola.com/article/soy/index.htm
Also, although some folks with allergies to cow's milk can tolerate goat's milk, it was recommended to me to avoid goat's milk, as well as the protein structure is very similar to cow's milk. Albeit, the goat's milk protein is a smaller structure, so might be better tolerated (for some).
Healthy fats (not processed) will typically not raise your cholesterol to unhealthy levels. It's also important to remember that they're now finding that high cholesterol alone just isn't the risk factor for heart disease that they originally believed it was. C-reactive protein is a much more accurate indicator of cardiovascular health, as it's a measure of the inflammation. It's also the ratio of the good (HDL) to the bad (LDL) cholesterol that's important. I actually have fairly high LDL and overall cholesterol, but because my HDL is very high (higher than normal) and my C-reactive protein is at the lowest value they measure, I'm considered to be in excellent cardiovascular healthy AND I eat a very high fat diet, BUT all the fats I consume are healthy fats - olive oil and fat from organic, free range meats (yes, I eat chicken skin from organic free-range chickens). I also consume fish oil daily as that contains DHA and EPA (i.e., the healthy Omega-3 fatty acids), which is very important for brain development. You have to remember that the human brain is comprised primarily of fat, so a low fat diet is actually quite unhealthy for brain functioning. The standard American diet is actually extremely high in the Omega-6 fatty acids (from vegetable oils) - those are the fats you would want to keep lower in your daughter's diet.
I hope this helps and you should be congratulated for being so conscientious about your daughter's diet.