http://wiki.makerbot.com/thingomatic-doc:stepper-driver-3-3
The chip is rated at an absolute max of 2.5 amps (Makerbot says 2.8????) but that's properly heatsinked to the thermal pad on the bottom of the chip. The PCB Makerbot designed is NOT properly heatsinked to the specification. Thus, even if you add a heasink to the top of the chip, it will not be effective since the heat is actually going down towards the PCB. There SHOULD be tons of throughhole vias (just like under the mosfets on the 3.6 extruder controller) to connect through the layers of the PCB underneath the center of the chip and then a heasink on the bottom of the PCB, or a hole through the PCB that allows the heatsink to physically touch the metal pad on the bottom center of the chip but that's not how the board is made. You will overheat and the chip will fail or go into thermal shutdown.
Now, as far as the ref voltage and current relationship. Ed Nisley deserves the credit for writing it up first but we discussed it in this thread http://wiki.makerbot.com/forum/t-358724 Be sure to click on the link in Ed's post.
Basically the ref voltage is double what the current is in Amps output, thus 2.0 volts REF is 1.0 Amps. 2 Amps would be 4 volts. The 2.4 amps you want to set it at would be 4.8 volts Ref, which is not achievable without changing the pot, and even then will not work because the chip isn't heatsinked.
Good job on your research from the data sheet, testing has shown the REF voltage to current realtionship to be what you calculated and thus YES, Makerbot designed the pot to current limit the driver since the chip is not heatsinked. Oddly, I think I have set one of these to REF of 3.38 volts to drive a larger NEMA17, thus think it's a fluke yours only reach 2.5 volts REF, but MBI might have changed the resistor values during the run of them to prevent users from putting too much current. These were designed to run a Makerbot motor, and those are all way less than 1.5 Amps.
Now to the linked page. THIS driver is the cheapest one rated at 2.5 amps http://www.lightobject.com/1-Axis-CNC-Laser-Machine-Stepping-Motor-Driver-TB6560-P451.aspx
It will properly drive your steppers at just slightly over the rated current of the motor (they have a fixed 2.5 amp output by switch, not a pot). 2.5 AMPS is only 4percent over the motor specificaton. Whiel the motors would be warm, they should be just fine and definitely reach full torque.
However, you may want to ust get even large drivers to "make sure" so go with these
http://www.lightobject.com/2-Phase-45A-Stepping-Motor-Driver-Support-to-Nema-1634-Leetro-replacement-P453.aspx rated at 4.5 Amps, or extreme overkill 7.8 amp drivers http://www.lightobject.com/2-Phase-78A-Stepping-Motor-Driver-Leetro-replacement-P454.aspx