M.,
I am a big believer in alternative approaches. I would suggest you check out magnet therapy. It can be used to treat tumors. Go to www.biomagscience.net and read some of the testimonials. Call the people and talk to them to see what they recommend. At worst you invest $40 in a treatment that will absolutely do no harm, cause no pain and can be used in conjunction with the steroid treatment if you decide to pursue that. I think it is worth a try. They also sell a product called Activated Oxygen. You just add a few drops of it to water and it ups the oxygen content. Oxygen is what heals you.
The other thing that occurs to me is turmeric. It is anti-inflammatory and is used in aryuvedic medicine to treat tumors. It is a spice used in Indian cooking and you may have it in your kitchen. Buy it from a health food store so it is not irradiated. That kills the medicinal properties. You can get it in tincture form (liquid) which would probably be the easiest way to administer it. Since it is a food source you don't need to worry about it harming your daughter. Check with someone to see if they can recommend the correct dosage for a child. At worst it acts as a blood thinner which should not be an issue. Again, this could be done in conjunction with the magnets and the steroids.
Personally, I would try the magnets, the activated oxygen and the turmeric first. Try it for a month and at the same time monitor carefully the progress. If the tumor starts to get out of hand again, take her in for the steroid injections.
Most importantly, don't feed the tumor. Sugar is the number one offender. Be aware that juices have high sugar content. If you can, a consultation with an aryuvedic practitioner might be very helpful. No soda. No candy. Don't fall into the trap of "sugarless" gum/soda/candy. Aspartame, aka Splenda, Nutrasweet, is poison. It turns into formaldehyde when it is warmed to 90'. Our bodies are 98.6' Do what you can to beef up her immune system. Superfood is one of the best things you could do for her and the whole family. You can find it in any health food store. It is dehydrated greens that are packed with nutrition. You add it to juice. You can sprinkle it on salads.
Good luck!