I have a TrueCrypt partition on my Windows 7 Pro 64-bit computer. I have Firefox and Chrome installed on my OS as normal, but I would like to have a completely private browser installed on my TrueCrypt partition--another copy of one of the two (preferably Chrome, but either is fine) installed completely independently on the partition. I don't want anyone to know that the separate installation even exists unless they can somehow get access to the encrypted partition.
Is this even possible? If not, what would be the best alternative?