This might seem like a really pointless question, but could we use the TI-NSpire calculator? My concern is that it does allow one to use notes, unless it was activated on test mode, where it locks you from using notes. I don't know if the supervisor would allow the use of it or not. :-/
The rules say "any kind of calculator" but do not explicitly mention a prohibition on notes - hence, from a strict reading of the event rules only, there is nothing preventing the use of calculators of that type. However, as dxu46 noted, they could violate the "spirit of the problem" clause in General Rule 1, depending on your event supervisor's interpretation.
I would recommend bringing in a backup calculator (something more definitively allowable) and asking the event supervisor beforehand whether you can use the TI-NSpire; if you find out ahead of time you can just use the backup, but if the event supervisor discovers it during the competition and decides that it's disallowed you are more likely to have to deal with a significant penalty, including possibly disqualification.