Before you go to extreme lengths, I would recommend trying to give them to her straight from the dropper to see if she will take them that way. I've been giving them straight up from the dropper to my 13 month old for about 3 months now. She loves them (even if we don't think much of the taste.)
We give them to her (at our ped's recommendation) because her iron keeps testing a little low (even back when she was on formula and getting the full daily dose of iron that way), and now that she is on just solid foods, I feel better knowing that besides the iron, she's got the basic vitamins covered as well.
Even though she's on finger foods, aren't you still feeding her yogurt or anything like that? I would mix it in with that, if you have to.
One final thought - get rid of the juice and switch your child to plain water in that sippy cup. Juice has absolutely no nutritional value (excepting OJ), except for the vitamins the manufacturer has added. Nutritionally, these kind of vitamins are generally being excreted right out, since the body doesn't absorb them well. Realistically, if you are giving your child a vitamin in addition to their regular eating habits, then they don't really need the added-in vitamins - and they definitely don't need all that sugar.
I really don't understand, with the 'obesity epidemic', why pediatricians even recommend giving kids juice. Both my girls are fine with just water - and it's a lot easier to clean up!
Sorry, off my soapbox now. = )
Good luck!