Oh bother!

From the catalogue of woe that you have described I would suggest that removal of the engine from the frame and a complete strip back to bare cases will be required.
Your comments "finding aluminium scraped off the bit where the middle of the cam sits" (central cam journal), "piston is scored front and back" usually associated with a lack of oil and "The crank flywheels/balance wheels? show bluing heat damage in the area where the conrod is closest to the edge of them - top of the throw." would indicate that the oil supply to the big end has also been compromised; either due to failure of the oil pump or due to sludge build up in the oil ways preventing the flow of oil to the big-end!

I would be looking to have to replace all bearings in the motor, have the big-end dismantled and checked, a new oil pump, a new piston and rings and have the bore checked and re-bored by a knowledgeable engineer, either find a replacement head in good condition without the central cam journal chewed up or have your head machined and a new journal inserted and the cam checked for correct dimensions. Whilst your at it, check the cam drive sprockets, chain and guides for wear and replace any component that doesn't match the specs.
SteveH' site
SRX600_website has all of the specification data and part numbers that you require.
Alternatively, you may choose to scrap the motor and try to source a SRX400 motor, another SRX600 motor or an XT600 or XT600E motor, all have been put into the SRX600 twin shock frame. BUT! ALL SECONDHAND MOTORS WITH AN UNKNOWN HISTORY CAN BE IN THE SAME CONDITION AS YOURS WAS BEFORE IT SEIZED, THESE MOTORS ARE BETWEEN 25 - 30 YEARS OLD, RUBBER SEALS PERISH AND IF UNUSED, CARBON PARTICLES/SLUDGE FALLS FROM SUSPENSION AND IS DEPOSITED AS "TREACLE" IN THE SUMP AND OILWAYS AND THEN SOLIDIFIES!

CAVEAT EMPTOR! Any old motor that has been standing, even with clean oil and a new filter can suffer a 'heart attack' if a sludge clot has formed during its inactivity!

If I have missed anything or others think otherwise, I am sure I'll be told. As for reliable engineers? Slipstream engineering in Kent would a first port of call, but quality always costs! There are others as good but I don't have their details to hand.
My commiserations, Bill