Scott, sadly I think your best bet is to get a new amplifier that will take care of your sub crossing.. Or a preamp and amp you can get away pretty cheap USP1 for $369 and a dayton dta100 for $70 or any inexpensive amp you can tuck behind your preamp that controls sub crossing... Or even a stereo receiver, I did this before, they have sub out but not all of them {very few actually} will cross the lows from your mains, so you buy one that has full preouts with main ins {you will notice the jumpers on the rear panel} install a pair of fmods in between the preouts and main and it will not send any bass to your mains, some of them will need a splitter to go to your sub others take the pres from the same source and you can still use the sub out...
I can not stand the sound when the mains and subs are reproducing the same signal, so crossing the mains is a huge part of suing a sub to me, if you do this correctly you will notice better mids and highs from your mains, not worse...
His amp would be very easily modified to provide pre outs and amp ins.
This is the circuit.
You could easily interrupt the circuit between the balance control and the amps. The case would have to be emptied for precise drilling in the shop, then re instal with the four RCA sockets.
The case is nice and open and would be an avenue for him. That is what I would do, but I have the facilities.
Actually on reflection, I think that unit is not worth the trouble. It has a passive preamp. Audiophools think this is an improvement, because it eliminates some active devices. They are dead wrong as they introduce worse problems. This is shown by JA in that in that unit the input impedance varied with volume setting. Now the negative feedback feeds back to the first stage of the power amp where the passive preamp connects. JA did have this amp go into supersonic oscillation under test. So I believe the sub connection is sending his amp into supersonic oscillation via the the negative feedback, which goes from out put to input.
If that amp is to be modified, the a IC buffer amp should be designed to go between the passive preamp and the power amp. That would add complexity, but not be very difficult. In addition to solving the OP's problem, I believe it would substantially improve the unit.
However it might be better to sell it along to an audiophool and buy a Creek integrated. These have preouts and amp ins and are designed properly, which this Acurus is not. That is assuming the OP wants to stay with an integrated amp.