Well, aside that it would be OOC from Clarence...
Franco-Scottish troops used most of the defensive capacities of the bridge and valley, meaning Clarence would have an hard time manoeuvring quickly : not only he would not beneficy from the IOTL surprise effect, but he would be in a rather bad offensive position.
See, Baugé is sort of mirror-universe Agincourt, tactically wise, except it really happened and with both sides were reversed.
At best, I'd expect Clarence to pull a retreat; but he simply might be captured along Exeter and Somerset and cease to play a real role until freed.
IOTL most of the battle benefits were lost at Verneuil, except for the immediate result on Valois organisation : I don't expect the alternate battle being that much more decisive for the rest of the war except a crushing Valois defeat which is quite unlikely.
At this point of the war, conflicts were (eventually) more about securing regional control, than decisive victory : it's how you ended with a North/South division in 1420's even with English victories, nobody really having the forces to undergo a larger conquest.