In further thinking about it, I think they will actually be in decent shape. There were only 8 conference games in the ASC last year because Sul Ross was reclassifying. So, if they play home and away against each other, they have replaced 6 of the 8 conference games. In effect, the teams really only need to replace two additional non-conference games. Given that the SAA teams will be down a conference game because of Birmingham Southern, a former ASC school now in the C2C could play a weekend at Hendrix in Arkansas and play two SAA teams (which MHB did last year with Hendrix and Rhodes and Hardin-Simmons did the same in 2019) or go to Jackson and play Belhaven and Huntingdon College (which likely has to replace Birmingham Southern, because they are typically on its non-conference schedule).
It's not uncommon for a SCIAC and/or NWC team to travel to Texas each year, but it's usually organized by Trinity because the travel is easier to San Antonio and involves Trinity/St. Thomas/Southwestern. Sometimes, Hardin-Simmons is invited down to give a traveling team a third game that way. Whitman and Pomona-Pitzer both played in Texas last year and one of Whitman's games was against Hardin-Simmons. One year, Hardin-Simmons played in the Trinity round robin directly with Christopher Newport, so it's possible they could get invited again.
In any event, I think the four teams will actually have a lot of non-conference options, mostly because I think the former ASC and SCAC schools still need them as well to construct a feasible non-conference schedule. Since there are only four of them in the C2C who will qualify for non-conference play and there will be 12 in the SCAC for 2024 (before Trinity and Southwestern leave), they will be in demand even if conference play takes up more slots for those SCAC schools.
It's not uncommon for a SCIAC and/or NWC team to travel to Texas each year, but it's usually organized by Trinity because the travel is easier to San Antonio and involves Trinity/St. Thomas/Southwestern. Sometimes, Hardin-Simmons is invited down to give a traveling team a third game that way. Whitman and Pomona-Pitzer both played in Texas last year and one of Whitman's games was against Hardin-Simmons. One year, Hardin-Simmons played in the Trinity round robin directly with Christopher Newport, so it's possible they could get invited again.
In any event, I think the four teams will actually have a lot of non-conference options, mostly because I think the former ASC and SCAC schools still need them as well to construct a feasible non-conference schedule. Since there are only four of them in the C2C who will qualify for non-conference play and there will be 12 in the SCAC for 2024 (before Trinity and Southwestern leave), they will be in demand even if conference play takes up more slots for those SCAC schools.