Dallas National is actually just west of downtown, maybe a bit south and is probably a pure golf club. I presume proximity and family membership preclude that. The northern Preston Trail is also precluded, as it is men only.
If so, I guess the best options, depending on location are
Gleneagles (vonHagge-Devlin 36 Holes)
TPC Craig Ranch in Plano, (New Wieskoph)
Stonebridge Ranch in McKinney (Dye and Hills 45 Holes total)Gentle Creek in Propsper (DA Weibring) if much further north. Castle Hills, a Morish-Weiskoph course
Brookhaven (Club Corp in Carrollton, 54 holes)
Columbian Club (Jewish club in Carrollton)
Bent Tree (Old VonHagge with a Keith Foster redo)
The first two are Club Corp properties, and I believe Gentle Creek is an equity club, perhaps with some semi private aspect now until the house sales allow memberships to grow. Last are equity, I believe, although not sure about CH.
Slightly lesser lights (and priced) include Prestonwood (with two separated courses) in far north Dallas, Los Rios in Richardson. There are probably a few others I can't think of off the top of my head.
I will leave it to him to judge the architectural merits of any club that turns out to be nearby. In general, the north dallas cc scened didn't get going until the 60's, so if he is looking for a classic along the lines of the old main line in Philly, he will be dissapointed. But, some solid courses.