I would love some cheaper design ideas for the basement, but I want something that will stand up to moisture issues.

This tends to lead to mold, rotting floor joists/sill plates, and other moisture based damages and problems.

I have asked a lawn care company about sodding it just to get ideas and it will be very costly and they also cannot guarantee that the sod will last due to 1) large trees causing shade and sucking all of the moisture out of the ground and 2) poor soil in that area.

No worries on moisture.

I believe that this can lead to termites and extensive moisture damage in the structure of the property.

Metro areas which do not experience hard freezes or significant moisture.

Tile would be great, but possibly the noisiest option (impact noise) and the kitchen is right in the middle of the floor plan.I treated the sub floor to reduce noise, but am now considering laminate or even vinyl (due to better moisture resiliency).Is tile going to be much louder than the current existing sub floor (at least in terms of impact noise).

When we flip there we usually have to tear up the floors from the top side to do whatever repairs are necessary to get a clean termite/moisture inspection, then pray we get it sold before the letter expires.  

It's a lot easier to scrape, clean and repaint a block wall in July when your moisture in the ground is much lower.Another selling comment - make sure to disclose the seepage on the property condition report.  

The ag extension services here estimate that the clay based soil in North Texas can expand and contract up to 10" (+/-) based solely on moisture content.