A bike trailer - they often come with a stroller mod.
Just be careful, a baby can't really handle the jostling of a trail.

Consider this:
Baby weighs about 10 Lbs.
Rickshaw or other baby bucket device weighs 25 lbs and requires at least one hand to pull/push/carry. Add baby and that's 35 lbs carry.

A baby sling for you or your wife weighs less than a pound and keeps both hands free, keeps the baby warm and bug-free and is MUCH lighter and easier than carrying a 25 lb trailer around.
I used to carry my son in one when hiking, as did my wife. You don't have to get one with "duckies" on it. Ours was a soft denim like fabric. The little guy loved it, we kept our hands free and all was fine.