The problem with this is that it negates one of the biggest benefits of BI -- getting rid of red tape and bloat.
Printing and mailing checks can be done almost fully automated and would close down millions of welfare buildings, and give people back dignity.
There's a stigma that you get when you're on public assistance or welfare. It creates a feeling of less self-worth. This causes you to believe that the best job you'll ever get is McDonald's - so why even try to better your circumstance.
GBI on the other hand goes to everyone - even the wealthy. The message is that we're all equal and it's basically a reverse citizen tax on the government to ensure everyone can live and grow in nurtured environments.
The world I see in the next 20 years - there will be no more truck drivers. Fast food restaurants will be run by 1 manager alone. Gas stations will be ran by self-serve kiosks, and be fully automated, as will be grocery stores - including re-stocking. Other jobs that will be gone: Surgeons / Doctors (probably not fully but the need will be a lot less because of AI like Watson, where you once needed 30+ doctors in a hospital you might need only 3 or 4.), construction workers, trash trucks, oil rig workers, fishing, pilots, military (replaced by drones / droids), manufacturing, etc...
We will move from a society where it's expected that everyone work 40+ hours and sometimes two jobs to meet basic needs to a society where work is optional, and 20 hours is the norm. More focus and time is spent with family and having experiences that truly enrich one's life. GBI gives people the freedom to also pursue entrepreneurism, startup ideas, music, art, writing, and any other number of hobbies and past times that could enrich society in general. Studies have shown that truly happy people aren't the ones who have the most 'stuff' it's the people who experience the most that life has to offer (i.e. traveling, events, concerts, etc...)
For us to get to GBI we need to hurry up the automation revolution -- I'm a Bernie Sanders supporter, and progressive democrat who's FOR robots at Wendy's and McDonald's as well as a $15+min wage... I see it coming. 40% of jobs will be gone by 2030 and never replaced. The faster we tip the scale and hit the dirt the faster government will need to respond or there will be riots when people are starving and losing jobs left and right. It needs to get worse before it can get better essentially.