look at T250.66, largest aluminum GEC in the table is 250, the clamp I mentioned earlier was rated for cu or al, I did not utilize it with 250 but when I have needed larger conductor or aluminum conductor I often end up with one that will accept up to 250. (Some more comment on CEE size related to this quote is also following next quote).
Expensive? I know, but NEC doesn't generally care about cost with their rules (will not say it was never a consideration in some instances though), and 90.1 kind of tells us why.
building steel does not require a supplementary electrode. Water pipe elecrode does - but the presence of a building steel electrode makes it available to be the supplementary electrode. Neither the building steel or the water pipe have any exceptions allowing GEC smaller then required in T250.66. Bonding of interior piping must also be sized per 250.66, it states this in 250.104(A)(1), so interior piping only gets #6 bonding conductor when T250.66 specifies #6 as minimum necessary.
Done it exactly the way you described many times.