I can't speak to state level issues, but I'm not aware of any federal programs that provide grants or extra funding for compliance with TFCCI. DoE is not one of the agencies I deal with on a regular basis, so I could be wrong.
If you're correct and there is a funding mechanism, then yes... getting over that hill would be darn near impossible.
Even if the School Doesn't receive any Non-Tobacco funding, the Next Hurdle that the OP will face is Just as Large.
And that is there is No Way for the School to Know or Ensure that what an Individual Puts in an e-Cigarette is ONLY an e-Liquid.
There are other types of Vaporizers out there that Vaporize other Substances (which we Can Not Discuss Openly) besides Nicotine.
You can Show the Dean of Students, Chancellor, or Board of Regents all the Studies you want about e-Liquids, but you will be Asked the Same Question over and over again. One which you will have a Hard Time answering to their Satisfaction.
"How can we have a Reasonable Guarantee that there will be Nothing Else inside an e-Cigarette Besides a Tobacco Product?"
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If I was the OP, I would take an approach that at Least has Some Chance of being taken Seriously.
And that would be to try and get e-Cigarettes allowed in Parking Lots and or Low Traffic Open Air Areas.