Raise the Debt Ceiling Once, and Raise it Big

House Republicans now seem to be considering a new plan to raise the debt ceiling in small increments: three months at a time.

I'm genuinely puzzled by this idea. What possible benefit could this idea offer? I'd have thought that a Republican House member would prefer to cast this unpleasant vote just once, rather than over and over again. Is there so much psychic pleasure in the thought of "putting Obama on a strict allowance" to overcome the genuine political risk of voting for more debt, multiple times in a single Congress?