a joystick will only have 2 pots (for a start).
varistors are "slow" sensors, and you can scale their value to the expected limits of your measurement. 14 varistors, might as well make it 16 sensors.
if your joystick card can read 2 pots, you will need some kind of multiplexer, (quad bi-lateral switch), like a 4016.
the other option is to purchase 2 8channel 8 or 10 bit ADC's (analog to digital converters), these are VERY CHEAP, and spit out their readings of your sensors, in a nicely computer readable form.
your Printer port, can be easily used for simple digital I/O, and you can use that port to switch through the channels of your ADC's and record the values you are after.
or you can use your printer port to control your multiplexer switch, (4 lines required for 1 of 16 selection), and use 1 of your joystick pot inputs and the measurement input, and the second joystick pot input as a reference.
i would estimate the total cost of your measurement system (except varistors). to be mabey $30 or so. depending on your willingness for comprimise.
i hope that help.
there are many (and more expensive methods), plug in DAC/ADC cards are a great option.
(i use C and LabVIEW, for my software development for instrumentation)
or you can purchase a Microprocessor development board, like something from ATMEL, they have 8 channel ADC's onbaord, (10-bit), can operate stand along, and communicate via RS-232 to your PC. (plus they are great fun to play with !).