In this application, I would recommend WWR - welded wire reinforcement (aka, welded wire fabric) simply to hold all the small pieces together, which is in essence what he wants to do. The wire will provide a good density of wire crossing the cold joints. He could use dimension lumber climbing forms by setting a vertical waler with the form wood wedged away from the vertical (so it can be removed after placement without moving the vertical.) The expense would be low, but getting formwork off and moved requires constant cleaning and attention to plumb and level. I would discourage setting tall forms and concreting slowly, since the forms may accumulate debris, like leaves and trash. A leaf blower is handy.
Also, hand mixed, bagged concrete will assure a poor quality control and lack of uniformity (mixing conditions, water quantity, etc.) It might be good enough, but I would plan on 2500 psi, max. Also, the cold concrete needs to be wet to SSD prior to placing fresh concrete, and formwork needs to be coated with form oil or a needs a surface that will prevent drawing out the mix water.
Additionally, if the steel reinforcement is left exposed for long periods (more than a few months, especially in severe conditions, like near a coastline), there could be an issue with corrosion. Light rust would be fine, but flaky rust could be a problem if the guy takes years to finish the project.