No time that I can recall has a President with an opposition Congress seen that Congress flip to his party's control in the midterms.
The Senate in 2002 is all I can think of... The House, no way...
Of course, many of the seats gained by the GOP during the Conservative revolution in 1994 were in a way past due, as they had been held in Southern districts with an electorate more conservative than the Democratic party leadership supported by their representatives.
Those seats would likely head Republican eventually, the only question would be when... If Democrats do win in 1996 and "govern like Democrats" then that could see the conservative revolution and the Contract with America come in 1998, and include many of those individuals in the above list.
Although I'm not certain of the premise that Bush Sr. would govern like that. Deficit reduction, probably, but that would probably be focused on spending cuts, not tax increases. In 1996 the dot com boom was gearing up and the economy may have been good enough to see Republicans hold on to the Presidency yet again.
They would have needed a credible candidate though. Quayle would have been clobbered... McCain possibly? Dole could win if the Democrats put up a weak candidate.
If that happens then twenty years plus of Republican President/Democrat Congress could grow to be considered the norm for our country, with anything else seeming almost weird. In that case the Gingrich revolution probably doesn't happen any time soon... but you don't see as much partisanship. Republicans never get as much of a focus on social conservatism. Blue Dog Democrats would remain an important force in Congress.
In that case those seats in the South would still trickle away, but far more slowly, and balanced elsewhere in the country. People such as Ben Nighthorse Campbell would have remained moderate Democrats.