Your options are, travel anonymously, and pay more or risk losing the money on your fare card due to them just deciding not work anymore, loss etc. I've gone through 4 now in about three years. Two just stopped working and i lost two. They also don't give your $6 deposit back, so i've now spent an extra $24 i'll never get back, for nothing on top of the money i lost on the first two cards. I've registered them since.
Or
Get tracked constantly any and everywhere you go on transit.