Have him check this list first before replacing the computer.Me personally would rule out all else before replacing the computer.

(out of the book a possible causes for a misfire)

Fuel pump insufficient fuel pressure
Fuel line clogging, blockage, leakage
Fuel filter clogging
Fuel pressure regulator stuck open
EGR system malfunction
Distributor malfunction
Ignition coil wire open
Ignition control module malfunction
Valves carbon deposit
Compression low
VTEC system malfunction
Fuel does not meet Owner's Manual spec., lack of fuel
Crank shaft sensor malfunction

He covered molest of them by replacing the cap,wires,plugs,injectors and fuel filter