Remeber that alternate history is a literary creation, thus the most probable corse is not the most likely corse, rather it is the corse best suited for the story. The setting is detrimined by time and the corse it takes. Part of the fun of alternate history is seeing familliar characters in unfamiliar settings, or vice versa.
To me a Time Travel story using the concept of historical predestination is intresting, but not in alternate history. In a time travel story you work with a period of intresting concepts, however in an alternate history your goal is to change history into something new that has historical grounding.
To me implausiblity doesn't matter either. Take Washington's Warlocks, I enjoy that story however it will never be plausible. It stays consist in the actions of its charcters, it stays consistant in its plot, and is generally well written. It takes a large scale change and deals with it in a constant manner, however constant isn't the same as plausible. The actions of the characters, of other inities is plausilbe for their natures among other things, but the very POD is impossible.
Write what you will, and be able to back it up by showing its consistancy within the story. If your using an erratic charcter than his actions should be irractic. Butterflies should be consistant within the actions of people and the general sociology presented. Once you get beyond a generation of changes and passed their childern and their grandchildern those known influences end and you must now have the actions of the new generations be consistant actions within the setting. Technological progress will set off change, change will bring further changes, and you must have the charcters, and group of peoples react to those changes for the vallitidy of the timeline to be accepted. If stagnation is the proper response to this than use stagnation. If progress, or reform, or changes are the proper repsponse then use those. Just make sure your effects have causes.