There is a third EL-Cheapo solution, and the satisfaction that you have beat the system wanting you to keep upgrading your stuff even though you don't need it.
Finding in the precise situation as you are, am now running a 32 bit Virtual Machine within my 64 bit host. The software is VirtualBox and, ta-da, is FREE. The amazing thing is, I used to have to install a TWAIN driver, but VirtualBox automatically recognized the scanner and BAM!
In this 32 bit virtual machine, am running several of my legacy applications which could not run under 64 bit. I love it, I ain't giving them more money, for what?