For those interested, I wound up getting a
postal scale that has a capacity of 50lbs. The bigger the turkeys got the less compliant they were with the weigh-ins I requested of them. It became a 2 person job, and I eventually gave up on getting live weights, partly because I worried it would lead to injury (them or me) and also it was stressing them. No issues though getting weights after processing!
Especially as they get over 15lbs or so live weight it seems that some kind of livestock scale that might be used for, say, sheep might be a better plan. Just herd them over to that and get them to walk over it. Precision won't be as good (instead of +-0.2oz I'd think a livestock scale might be good to +-0.2lbs, but that's not a big deal), but getting them to hold still on that scale linked to above made a valid weight challenging anyway.
This one looks like it might be worth trying out, especially if I get my sheep flock going like I want to.