Your looking at 12m on the high end. You could squeeze money here and there. With that you must sign a starting caliber G, TE and DE. You also need a viable QB option. Beyond those you still need to look at DT, TE#2, CB and WR. Then you have to consider any scheme change or coaches players. You can't wait till June 1st on all that. By that time the FA market is dried up. You also want to fill those holes before the draft so you don't have to reach.
A trade is more likely to work now, but there are a lot of moving parts so it's hard to give it much consideration. A Carr restructure gives you a ton of room to operate and isn't some damning move like people make it out to be. You will have a ton of money in 2026 and plenty of options to maneuver in 2025. I really don't get why people think they should handcuff themselves other than they think for some reason restructuring Carr damns the team. It doesn't. You don't have to sign another QB this year and the effect next year isn't that significant due to the reduced number of expiring contracts you have to restructure.