Well , try to check PSU for voltage values first.
Other case could be that something has broken and is
now draining too much power for resistor to survive.
Like some component getting reallly hot before resistor
gets burnt.
BTW is your Amiga fully functional this way (if you can
test it to boot I mean? ).If it is maybe better not repeat
the process too many times.Sound issues are almost always
connected to -12 V so peeking inside your PSU may not be
such a bad idea (or was it recapped too ? ).
That resistor is connected to cap that gives power to some-
thing and may be there to lower it or may be there as a simple
protection so the shock doesn't go any further).
I never really fixed any A3000s so this is all I know
