No, you are not crazy to try to train her early, that is great - we started at that age with my girl, but we had a major resistance/regression when we also tried to take her pacifiers away around the same time...so we decided to wait till 26 months and try again. BTW - if she is showing interest, you probably do NOT need to give candy, etc. as major rewards, just lots of praise, and maybe a sticker chart. Leave the major rewards like candy, or toys for bigger obstacles, or in case you have an issue later on.
My now 30 month old little girl ( still only 34 inches tall and 25 pounds - so tiny) has been training since 26 months, and we do travel alot, so going when away from home was one of my worries too. She has been doing great, the first few weeks we just let her wear a diaper on longer trips, but since Easter, we have been 100% big girl undies, other than when sleeping (naps and bedtime).
So we ordered this:
We also bought something like this at Walmart, too, but ours has Sesame street guys on it...:
They are BOTH great products, the potty has been wonderful when we are on longer road trips, or anywhere where the bathrooms are GROSS or the line is long, we can just set it up in the back of our mini-van and there she goes! It uses standard gallon size ziplock bags , clipped on under the seat to hold the pee and poop, so after she goes, we just zip it up, and either leave it with the potty for the next use (if we are on a trip where we know she will be using it multiple times in a day) or throw it away - no worse than throwing away a poopy diaper. One tip, we put a couple paper towels in the bottom of the bag to help soak up pee, so it is not sloshing around in there too much.
I also like the folding seat in reataurants, etc. ( I keep it in the diaper bag with extra clothes in case of an accident - it is small enough, folded, to fit in a larger purse, too, for when she is totally trianed, but still too little to handle those big toilets), it gets her used to the idea of going on those big toilets, and yet keeps her from being scared of falling in, or form getting other people's germs on her bottom.
Another tip - just because she's a girl, don't think she won't pee right out the front,my girl does! At first we used the pee-guards on the potty at home, just like boys do....but then i had an accident in a public restroom where she peed right out the front all over her undies and pants that were around her calves, while sitting on the folding seat on a big toilet - I figured out if i have her keep her legs tightly together, and lean forward a little, the pee goes down and to the rear.
Good luck - won't it be nice to give up those diapers!