IFRs:
Regarding the guys, there is enough slack in them, at first, that “chain binders” won’t do the trick for initial wire rope take-up. You need a come-along, a chain hoist, or even a hauling cable fixed to the end of the guy wires and a skid steer or some such, pulling it through the end hardware. You might be able to save a set of guy wires by changing your approach a bit. You have four 30' high cans, 1 (bottom),2,3 & 4 (top). They will likely be stacked in a specific order, with the lower ones being thicker. So be careful on this account. But, you claim the individual 30' cans are basically stable as they stand alone. Many times the bigger issue is that you stiffen/stabilize the free edge at 30' so it doesn’t buckle into a wavy shaped circle or oval, or some such. So, on your right hand sketch (your 5 Mar 18 23:50 post) guy wires may not be needed, or they can be very basic. Fix a stiffener ring to the mid to upper ht. of can 2, with hanging guy wires of L2 length. Fix a stiffener ring to the mid to upper ht. of can 4, with hanging guy wires of L4 length, considerably longer than L2, for later assembly use, but [use mid length of this wire rope for the first stability anchoring.] These stiffener/guy wire rings are also intended as lifting rings for use later on. Mate can 2 to can 1, do the welding and temporarily fix the guy wires to some hold down blks. Mate can 4 to can 3, do the welding and temporarily fix the guy wires ( [use mid length of this wire rope for first stability anchoring.]) to some hold down blks. These first two main lifts can be done with a fairly small crane or two, only one can weighing about 25 tons each and only about 60' high lift. Now, your middle sketch has only one set of guy wires at about 45-50' high for each set of two cans.
One thing that I’m a little unclear on is..., you claim two cans high need guying for stability while you are working on them on the ground, and then that three and four cans high do too, while this stack is being built on the ground. But, when it is 240' up in the air, atop the 118' lower part of the stack, stability is o.k., or not an issue, or what? How does this work, the lateral loads are greater at 240' than at 60' or 122'? Is the final 240' high stack guyed or free standing? I understand that you are responsible only for building the top four cans of the stack, total height about 122'. But, I am asking, by working together can the two contractors make things easier or better for each other, by the way they are doing things, with not much added cost to themselves.
Now, with a larger crane or two, lift cans 2&1 onto the 118' high base stack do the welding and start the final guying process if this exists. And finally, lift cans 4&3 onto the top of can 2 and do the welding and start the final guying process if this exists. Alternatively, as it seems you are proposing, mate cans 4&3 to cans 2&1 on the ground, and then a much heavy and longer stack top section is lifted onto the 118' base stack section. This kinda boils down to crane size and cap’y. and availability. But, 100-120 tons at 240' is a lot different than 50-60 tons at 180' and 240'.