How many routes do you think Toriko no Homura is going to have?

I think that 5 - 6 are probably the most likely - it depends on whether Guilty is going to have a split between the 'protagonist' and 'whole group' routes like in Toriko no Urara.

What I think would be interesting, based on the plot summary released so far, is that we first have the split into the common 'sister' route (Miori and Miyuri) with Miori's POV and only later in that route (for example once we got Miori's defloration flashback ?) we got a decision split that would make Miyuri involved in the plot.

Basically that Miyuri has been thrown into the lion's den by her own sister..