I don't know of any way of taming the tape decks output without loading it down. Note that the tape 1 and tape 2 inputs on our preamps do not short to ground when not used as all the other inputs do, must do it this way to allow monitoring. This could be the source of your switching clicks if there is a bit of dc leakage on the outputs of that old tape deck. The input will be switched from no DC to a step function of whatever DC level there is there, and that will definitely cause a pop sound.
Keep the volume turned down on the preamp when using the tape deck, that is what that control is there for.
Note that the volume control is after the tape outputs so that (tape outputs) goes out full line level from whatever the source selected is doing.
Regards,
Frank