Your optimum setup would be eight 6v "golf cart" batteries, Jeff, as you can probably surmise from your own calculations. You can set them up as per your top schematic, although that schematic seems odd because the + and - posts don't seem to be in the same physical position on all the batteries.
Before you do anything, you need to verify that your new batteries will fit the trays. My factory-installed Interstate Workaholics are 10" long, 7" wide, and 11" bottom to post top. The posts on each are on diagonal corners from one another. You will need to be able to twist and remove the cell covers to check and add distilled water several times annually, so you won't want to route any cables over them - allow for that when planning the setup. I need to check the water in mine today anyway, so I will take a photo of my configuration for you. I don't have a second house tray, since I have no residential fridge, but the per tray arrangement could be the same, assuming your trays are both sized okay.
A pair of 6v batteries hooked together with one wire from the positive post of one to the negative post of the other will make essentially one 12v battery, and this is called a serial connection since it is additive (6 + 6 = 12v). Arrange each tray with 4 batteries, each pair of 2 batteries hooked serially as per the schematic.
Now that you have what amounts to two 12 volt batteries per tray, run a wire between the as yet unused negative posts of the four batteries, and a wire between the as yet unused positive posts. This connects the two sets of 12v batteries you created, and is called a parallel connection, which is not additive - it does not double the voltage to 24v, it just increases your amp hours.
The arrangement per tray, to me, is best illustrated by the battery diagram in your bottom schematic photo. The trays will then have to be connected in parallel, as they probably are now. Then you will need to go to the Magnum screen and tell the inverter/charger it is now dealing with lead liquid acid batteries, assuming someone programmed it for AGMs at the previous install. And the solar controller will need to have its dip switches set for LLA batteries also. If you don't have an owners manual for that, one of us will be glad to assist.
I would hope others here would join with some input, so you aren't going by just my 2 cents, and in case I've missed something. Ed? Gerald? Someone with a setup like what Jeff is looking to rig?
Joel