Just to argue whether or not it could be done, here is the AAV at time of signing for the top 5 salaries of each NFL team.
Actual cap hits for '25 are:
Burrow - 46M
Chase - 22M
Tee - 26M
Trey - 19M
OBj - 15M
Total - 128M
If Burrow restructures, the actual cap hits will be more like
Burrow - 30M
Chase - 10M
Tee - 26M
Trey - 20M
OBj - 15M
Total - 101M
30M would be a ceiling for a new Burrow contract. Could go down to 19M or so. The Chase contract would be sub 20M for the first 2 years before going up and the Tee contract would be the reverse--big money early then dwindling later--to stack so the contracts don't hit big in the same year. The cap goes up each year and the Bengals will have 44Mish this year + another 30Mish after a couple cuts.
The problem is, they're going to need to stop being dumb and realize you only have a short time to take advantage of an elite QB and they've already wasted 5 years of his career with nothing to show. They need to be willing to push money, use void years and pay guarantees.
Priority 1 and 1A will the improvements to the Oline--they need 2 new guards--and then the D, where they need 3 new guys. You could argue, since they have guys coming off SE injuries, they could just go after 1 guy for the Dline and a safety. After OBj's 15M, they have 2 guys making 10M per and one of them could be cut. Rankins will be gone.
If we're talking, is it a good idea to sign Ja'Marr, Tee and Trey to raises, the answer is 'not really' but if we're talking can they do it, the answer is yeah, they can.