well the first step would be to put back any of the modulation limiters that have probably been cut in that radio, and return it to 100% modulation. IE: back to a stock radio.
If you insist on running it modded, then all i can say is good luck to you in your RFI abatement.
pretty much all consumer grade electronics these days skip the RF shielding, and bypass capacitors that help mitigate this type of interference in order to save money.
most likely, all the wires going to the speakers are acting like little antennas and picking up your transmissions.
get a bunch of snap on ferrite beads, and wrap three or four turns of speaker wire through them.
do this at both ends of the speaker wires.
If this cuts down on the interference but doesn't completely cure it, start adding more ferrite until it gets down to an acceptable level.
if it doesn't seem to make any difference, you are probably overloading something with your RF and might need to consider moving the antenna to the opposite side of the house.
here are some good articles on RFI:
http://www.arrl.org/radio-frequency-interference-rfi
https://www.acma.gov.au/Citizen/TV-...dio-interference-in-stereo-or-audio-equipment
http://palomar-engineers.com/rfi-kits
hope this helps,
LC