Most common sourse is radiated EMI from the HDD cable. Grab a 66MHz UDMA compatible cable, which is backwards compatible with IDE, but has better shielding on the cables. Ferrite beads clamped around all wires off the board, and when placing on the backplane of the case use every single screw that has a hole in the board, with the right brass standoff and a screw that makes contact with the grounding ring on the hole. Then case use all the screws, and also check power supply actually has a RF filter in it, many were cost cutted out, so add in the common mode choke, the 10n class Y capacitors to ground, and the 470n class X capacitors either side of the common mode choke as well. If they are there and are RIFA, and crazed, change them before smoke time. Old AT supplies also you need to put a ferrite clamp on choke on the internal power switch leads, as it is otherwise a very effective antenna.
On the board, all those black electrolytics on the power rails, probably around 100-220uF 10V, replace the lot, using low ESR ones, they likely are either close to dead, or dried up totally. You should see a good reduction, provided you use a metal case with metal front, and put in all the case screws.
I would send you a SX33 board, as I have an old one, but shipping to the USA is prohibitively expensive, last time it was $300 just for shipping.