Good news. A lot of corporations pay no income taxes at all. Therefore, the cost of goods and services should be decreasing, according to your logic.
Actually, it would mean that they are currently correctly priced. Tax them more if you want to pay more for their stuff or increase their costs in some other way like gasoline taxes... You can see the result of this directly in cigarettes, taxes come and they are immediately passed on to the consumer, it can also be seen on your phone bill where they don't even hide the fact that they are passing the cost of those taxes on to you...
The belief that corporations would just accept the increased cost of business without raising prices is a denial of rational action of those who run corporations. I would note that most who do not pay taxes currently able to write off losses and that it is solely a temporary thing.