Using an Uno to play back somewhat large table of analog inputs, best way?

'1284P has 16K SRAM, could store it there if the data needs to be varied by the code - or captured & played back.
This duemilanove style 1284P board I offer can do that (duemilanove style because it uses FTDI chip vs 8U2/16U2 chip for USB/Serial). The USB/Serial can be on-board as pictured here, or an off-board FTDI Basic(or similar) can be connected to a header that would be installed in place of the module.
I recently used it in a project with a 14500 byte array to do similar, I blasted the data out at 8 MHz rate into a large bank of shift registers.
http://www.crossroadsfencing.com/BobuinoRev17/