Obama as gop would probably be a Romney who appeals to young voters
Obama/Romney 300
Clinton/Bayh 238
I think the map likely is somewhere in-between these two.
Party alignments would be significantly different in this timeline. Hillary would keep most of the old Bill Clinton Democrats in Appalachia/the Upper South. Not nearly as heavy losses with WWC as in our timeline. Obama might face an electoral college disadvantage as a result, because Hillary holds on to states like AR/MO/WV in addition to most of the rust belt. And still is more popular in already heavily Democratic areas, though perhaps Obama could make in-roads into some of them, and hold on to states like VA: Presumably as a Republican, he would be quite moderate.