I would use Virtual DJ (free application) into my Behringer UCA-222 to the Russound TMS-1 connected to a tape loop on my preamp. One of my cassette decks would be recording the output from Virtual DJ. Virtual DJ allows for crossfading and beat matching between two virtual TT's.
ARC SP9, HW19, RB300, Sumiko Blackbird: Front: Magnepan 1.7, 2 x 12" TL subs 2 bridged Crown XLS 402, 2 modified Dyna MK-III's. DBX-223XS, Behringer DSP1124P, rear: Acoustat Model 1/SPW-1, Behringer CX-2310, 2 Adcom GFA-545