I'd love to help with your question. I'll never give you advice that I wouldn't give to my own patients or do for my own child.
The problem you're describing is not uncommon... and an Advil is hardly the most unusual thing I've seen a child stick up his/her nose!
Still, if you can't see the object... and if you've tried to get her to blow her nose... you've done all the right things, and honestly are sort of "maxed out" on what you can reasonably do at home. I think you should take your daughter to the ER so that we can help you out, here. (If you don't have a specialized pediatric ER in your area, that's fine... but if do you have a Children's Hospital in your area, go there - I promise, we see this all the time.)
There are a few tricks that we can use to get the Advil out. One is to use some nasal drops to constrict the blood vessels in her nose to see if that will open things up again, then use medical oxygen to help her blow it out... if that doesn't work, we have a couple of special tools that can help to gently extract the Advil (assuming we can see it). And if we can't see it, we may need to involve an ENT to take a look with a flexible scope and handle things that way.
Like I said, you've given things a good try at home... but I don't want you to keep messing with it, because the risk is that the more we do unsuccessfully to get the pill out, the more swelling and irritation will develop around it, and the harder it's going to be to get out.
I hope that this information is helpful to you. Please let me know if I can do anything more to help. Let's get this taken care of promptly, and I promise, this will be something that you laugh about (one day)!