Bill Cowher and the Bears would not have been a good fit - he's a 3-4 guy and would have to literally gut the Bears front 7 - and find some real safeties and corners who can play man defense. The only Bear that, theoretically, would fit the mold is Urlacher - had he been drafted by Cowher, he would have been a terror as a 3-4 rush linebacker. At this point, however, he's got too many miles on him. Briggs? Excellent 4-3 linebacker, PERHAPS could play inside in the 3-4 but would be nothing special.
As for the future Bears coach, we should remember that Lovie never wanted Ron Rivera. When the Bucs prevented Lovie from hiring Rod Marinelli, he wanted to appoint the Bob "Bubba Gump" Babich to DC. Angelo overruled him and brought in Rivera. I don't believe that Angelo and Chico have any bad blood.
The next HC of the Bears - who will be hired prior to the 2010 or 2011 season - will be Ron River or Dave Toub, the only coach on the Bear roster, BESIDES perhaps Ron Turner (and Lovie himself), with any sort of positive league-wide reputation. Every other coach on the Bears is a non-descript nobody with no pedigree prior to joining Lovie's staff.