Apparently Bryant has turned down a multi-year offer to join the Ravens (who then signed Snead). Brant was cut by the Cowboys because his declining numbers over the past three years ere iincongruent to a 16.5 M cap figure in 2018. Bryant is betting on himself. He apparently believes injuries, a lack of a focus and poor scheme in Dallas were factors in his decline and has vowed to bounce back in 2018. He wants to sign a 1-year 'prove it' deal and then be back on the market. To me this would indicate he'll try his hardest to not only do well but behave well; knowing 31 other teams will be watching him. This would motivate him to play well.
Playing with Rodgers would give him about the best chance to showcase his skills (whatever they may be); Rodgers will get him the ball if he's open. If anything, this would indicate Bryant might take less to sign in GB than elsewhere - knowing he'd have best chance to have big numbers with GB compared to most teams.
The cost to GB could be absorbed in a 1-year deal. It could mean - but not necessarily - pushing Rodgers' extension out a year. After 2018, GB would have the money allocated to Bryant to work with plus others (CMIII) no longer under contract and they'll need to figure out Cobb.
The other cost would be a roster spot. GB will likely draft a WR (or 2??) anywhere in rounds 2-6 if the board dictates it. Cobb + Adams + Bryant + 1 rookie + 2 carry-overs from last year would fill 6 WR spots. That would be letting go current WR roster talent. Is Gute comfortable doing that? Potentially losing Cobb and Bryant after 2018 would leave only Adams as proven talent. Would Gute be comfortable with that? Would we? For these reasons, Bryant doesn't seem a good option.
On the other hand, he'd be a great 1-year fix -- Graham, Adams, Bryant, Cobb, Montgomery out of backfield -- how the heck do you defend that? Bryant would be insurance if there was a WR injury; or Adams got another concussion taking him out 3-6 weeks. If this happened, I don't see two of Graham, Adams, Cobb (the other injured) as being much of a threat to defenses. Monty would need to play more WR schemes. This would be the case for getting Bryant. We know a rookie WR would only be able to contribute minimally not knowing the offense and audibles/scrambles, etc that AR and MM would want.