Unemployment and Pollution
Overall, Burke seems to perceive technologism as an evil of humanity done to humanity itself as well as to the Earth. Although he admits that computers will help us to gather vast amounts of information (THTS 57), he also argues that the more sophisticated the software, the more hours of work to be put into them in order to maintain them functional (THTS 57). Moreover, Burke mentions that although we may be able to find out the answer to quite a number of questions with the help of the computer (THTS 57-58), he intimates that the information we will find will not be crucial or useful for us; additionally, the amount of information we will be able to find out will be directly proportionate with our effort to maintain them running (THTS 58). Another important claim Burke makes is that the computer (and I would argue technology in general) may cause unemployment (THTS 58). This places Burke not too far from the discussion of the mechanisms of capitalism with its changing modes of production found in The Communist Manifesto by Marx and Engels, although Burke acknowledged that their thought was not pragmatic. Technology has caused unemployment in several ways which can be seen in the self-serve phenomena such as: gasoline pumps, lines in grocery stores, snacks and drinks machines, etc. Another important effect of technology which Burke mentions is pollution, which will be hard to perceive as such because of the changes it will effect on nature (THTS 61); hence, the happy ending (that is, our need for comedy) could be an apocalyptic technological release from the burdens of technology through technology (THTS 61). Although this prediction has not passed entirely, we are made aware of the effects of pollution in the more and more frequent food poisonings (a few of which have been lethal) and food recalls in order to prevent ingestion of harmful substances, in the frequent red tide occurrences, in the mass food poisoning via trans-fats, etc.
apocalyptic technological release
Your identification of our need for an "apocalyptic technological release from the burdens of technology through technology" is interesting. It made me wonder if that need is in part being addressed by movies like fight club/ the matrix where technology is used to destroy techno-culture. There are many variants of apocalyptic and post-apocalyptic movies (the difference, for example between 28 days later and waterworld). I don't really know enough about all this to make a cogent argument, but I'm curious about how/if these movies address some of this need.
I wonder if Burke's distrust
I wonder if Burke's distrust of technology can be linked to his dislike of the "scientistic" urge. The "scientistic" way of getting at knowledge, which, he is at pains to describe in SoM and a number of other works (RoM, GoM, and LaSA) for sure, is not "bad" in and of itself, merely incomplete. However, such backpedaling does not obscure the fact that Burke doesn't prefer the scientistic "method"; he thinks its precedence in our world obscures other ways of coming to know, ways that are just as "valid" but examine different parts of reality. Such excess of scientism produces a kind of mental or intellectual "pollution" of its own!