are there any signs that since the engine is mis-timed that any ptv contact has been made? if you're lucky and nothing has hit, then why are you talking about sending the motor somewhere? pull the vc's and timing cover and retime it, correctly. few hours of work and little to no more money(if no damage has occured) and you're back in business.
Im not thinking its as simple as being a tooth off. Im thinking more in the lines that the cam grind may be off. To have this kinda varience a/f wise points directly to combustion process quality or lack there of.
I had a 2v cammed car do a very similar phenomenon for me, and after sending both cams to LM Engines, Mike @ LM deemed one of the grinds "off" more so the midleft numbers and opening closing events.
Its very simple to "time" these engines with the marks and the chains as per factory, but once you get into degree changes etc, its a little more complicated than that, especially with 4 cams and a slave chain.
I have a elaborate ford pinpoint test to run thru to try and remedy the 340 code first, and once i find the issue with that or lack there off i will be doing some basic health tests just so Al has them and can add them to his folder of INFO on this debacle.