Remember, a kitchen remodel should only take about 20 minutes to complete according to those DIY shows on TV (riiiight!)

At this point you might be better off venting out the back of the wall like you mentioned, you might be able to put an offset elbow in to miss the shelving in the laundry room. That way you can keep the kitchen cabinet space which is always at a premium. You had said there was a stud in the wall where you need to cut the vent through, looking at your last pictures with the gas line showing, I would advise just cutting the stud out with a sawzall, it doesn't look load bearing. Just cut out the 4" section of stud thats in the way and run the vent through.

You had also asked about covering up the copper ice maker line and ground wire by the water heater. It shouldn't be a problem BUT, if that ice line is the same copper line shown in the last picture (behind the gas line) it is running in unconditioned space with no heat through the attic to the refrigerator, it could freeze and break. Thats not good.

Good news on the WH vent though!

You better get busy, you have about 15 minutes left!