Five or so years ago when I was in your shoes (looking for a round baler, one man show was getting old with the 270 NH bsler....) I was wondering too.
'Here' chain balers in working order were bringing $4-5000 at that time. Holy cow, folks were telling me how cheap they were, and wow that was 10 times what people here were paying for them.... My understanding is a good one in good shape will do cornstalks well, but they don't make a tight or high-leaf alfalfa bale.
Good round belt balers that can handle cornstalks will run $6000 or so. 'Here.' I'll repeat my comments from below - cornstalks are very miserable to bale, and take a good newer belt baler.
You at least need an open throat baler, and you need new pickup teeth that are not bent, weak, or missing. Still it is a difficult thing. Some years the stalks are 'right' andthey will bale pretty well, but then again, too dry, too wet, etc & it will be miserable.
Like me, you have a smaller spread, & you have the 2 difficult to deal with crops - alfalfa that needs gentle handling, and stalks that need a good sturdy easy-feeding baler. All on a budget.
That's a tall order, and so the replies you are getting.
I'm not familiar with the soft core, fixed chamber balers (some Gehl & New Idea, for example, with rolling drums instead of belts or chains) but those have issues too - softer bale centers don't store outside well, you can't make smaller bales, etc. Not sure if they do stalks well tho?
--->Paul