From what I have read, heard and experienced, the two Cryptocercus species found along the southernmost part of the species range (C. darwini- central TN/ northern Alabama and C. garciai-northern GA) prefer lowland forests and are not as sensitive to higher temperatures as those found in higher elevations such as C. wrighti and C. punctulatus. An acquaintance of mine who lives near the range occupied by C. darwini stated that some of the largest C. darwini colonies he uncovered were found in sun exposed logs whose surface temps were well over 90 degrees. But in captivity, it seems these roaches are highly prone to fungal infections especially if the wood offered is not properly "seasoned". In addition, too much organic material in the wood can actually offset the roach's redox potentials causing their gut fauna to either stress and die or form waste chemicals that are potentially lethal especially at higher temperatures. As a result, they're definitely not a beginner roach and certainly one that's best maintained by expert blattaculturalists only or better yet, left alone entirely due to their rather limited population status. There has been some serious considerations about placing all Cryptocercus species including those found in Asia under a "high risk" category from a conservation standpoint.
Mark