A couple of things: 1) Your problem may only be linkage that needs adjusting. 2) Isn't your car still under warranty? 3) Find another dealer who will take the time to investigate the problem. Being an authorized dealer for Honda doesn't automatically make them "good". 4) Most importantly, when passing another vehicle that requires driving into the on-coming lane, you should ALWAYS do it ONLY when there is enough space and time to recover safely from an incident. Always assume that something will go wrong with your car when passing on a highway like this, and leave space to recover. Too many people die when passing on a road like you described.
I was passing a large truck, downgeared into third gear, let out the clutch, and
the transmission popped out of third gear. I found myself in neutral facing on
coming traffic, and had to slam on my brakes and pull in behind the truck (almost
had a head on collision). This popping out of gear, and difficulty shifting into
gear has been going on for over a year and occurs perhaps 3 or 4 times a month.
After this near miss I decided to get it fixed. Before going to the dealer this
morning I did an internet search on "3 gear accord 6 cylinder manual" and one of
the results was Honda Service Bulletin 08-020. This bulletin covers my 07 Accord
and is for "Transmission Grinds When Shifting Into 3rd Gear, Pops Out of 3rd
Gear, or is Hard to Shift Into 3rd Gear, Note: These symptoms can be intermittant
and sometimes more noticable in colder climates. Faulty 3rd gear synchronizer or
shift sleve" Sounds exactly like my problem so I went to the dealer today to have
it corrected. The dealer went for a test drive and couldn't duplicate the problem
(it can go for over a week without showing up), he said Honda's policy was unless
they could see the problem Honda would not authorize any repairs to be made. I
called up US Honda (800 999 1009) and spoke to a Mr Jimmy Rudner who verified
what the dealer said. So Honda has found a problem with their transmission (the
one that almost caused me to have a head on collision), released a Service
Bulletin on how to fix it, but refuses to do any repairs until this 3 or 4 times
a month intermittant problem starts to fail often enough for it to fail while the
dealer is actually driving the car. Meanwhile the problem continues.