We called the school (FIU), and they said that the $1850 fee we paid was "unqualified" tuition. Am I still able to deduct it somehow?
Unfortunately, no. To claim either education credit, fees have to be required for enrollment or attendance, for example, lab fees. You don't need a 1098-T to claim an education credit, but the expenses have to be qualified (see link for IRS definition).
I'm of the opinion that the school is wrong. The course may not qualify for the more generous American Opportunity Credit, but it does qualify for the Lifetime Learning Credit.
From the IRS link at the other reply: "You must pay the expenses for higher education that result in a degree or other recognized education credential. For the Lifetime Learning Credit, you can qualify if you take the course to acquire or improve your job skills.
After answering that you did not get a 1098-T, in TT, say that you qualify for an exception. Your daughter must be your dependent, for you to claim the LLC. Otherwise, she can claim it, on her return, even though you paid it.
This answer assumes FIU is on the DOE list of eligible institutions.