The easiest way to deal with this is to leave the amp switcher at the amp. Then, buy a longer MIDI cable.
If, you need the amp gizmo on the pedal board, you'd have to make a cable. IIRC, the Recto uses a standard 8 pin din connector, so you'd need to buy a male and female. Then find a cable thats long enough for you, that has 8 conductors, 22 AWG. Then wire connector straight thru, ie; pin 1 to pin 1, pin 2 to pin 2, etc. I wouldn't worry about sheilding since the cable doesn't carry any guitar signals, it just digital switching. However, the longer the cable, you may run into voltage drop problems, and the signals may not switch the amp properly. I won't even try longer then 50'.
If the RJM cable is just straight thru, you could just replace it and use the connectors. But I suspect that there's some wire crossing or something funky so you have buy a cable from them. Unless you can figure out what there doing inside the cable and replicate it, just use your new cable as an extension to the RJM cable.
Hope it helps.