Here are the notable free agent running backs. Not the position where teams traditionally want to invest resources, but the Packers have given indications that they'd be willing for the right player (recall the Jonathan Taylor stuff) and at a certain point the depressed RB market could make the right guys + values:
Saquon Barkley, NYG: 27 yo, 1219 career carries, 3.9 YPC in 2023, 4.3 career YPC
Tony Pollard, DAL: 27 yo, 802 career carries, 4.0 YPC in 2023, 4.8 career YPC
Josh Jacobs, LV: 26 yo, 1318 career carries, 3.5 YPC in 2023, 4.2 career YPC
D'Andre Swift, PHI: 25 yo, 627 career carries, 4.6 YPC in 2023, 4.6 career YPC
Zack Moss, IND: 26 yo, 492 career carries, 4.3 YPC in 2023, 4.3 career YPC
Devin Singletary, HOU: 26 yo, 981 career carries, 4.0 YPC in 2023, 4.2 career YPC
Austin Ekeler, LAC: 29 yo, 1014 career carries, 3.5 YPC in 2023, 4.4 career YPC
Derrick Henry, TEN: 30 yo, 2186 career carries, 4.2 YPC in 2023, 4.7 career YPC
Ezekiel Elliott, DAL: 29 yo, 2168 career carries, 3.5 YPC in 2023, 4.3 career YPC
If they by-pass the RB market altogether, I think that's fine. There's a risk associated with paying the position. However, I hope they monitor the market for two guys: D'Andre Swift and Tony Pollard. Neither are perfect players by any means, but they both have the explosive athleticism that this offense sorely misses when Jones isn't healthy or in the game. In rotational roles, I think both could be highly effective.
I they do intend to spend at the position, I hope they stay away from Barkley and Jacobs. They've both seen a lot of work; my guess is that their best days are behind them.