Try and not stress. I've never owned one of these dogs without them getting a few lumps, and bumps.
While I don't feed right before a run, they are going to find things while your out. Cow patties have been the snack of choice for mine when young. We work on Leave It, and they eventually get the idea. I really dog think them snagging something while out running, it the same as them eating a full meal. Have a glass of wine, and enjoy your pup.
Not all those who wander are lost.
Life is just a leap of faith.
Spread your arms and hold your breath and always trust your cape.
Two things define you. Your patience when you have nothing, and your attitude when you have everything.