I'll take a third choice: instead of a social safety net (or even raising the minimum wage), spend that money on low-skill government jobs that no one is doing, with no cap on hires. Pay the $15 minimum. Cleaning litter, landscaping highway medians, cleaning train stations and trains. Oh wait, never going to happen, for two reasons:
The right: that's expansion of government! They're taking more of our tax money!
The left: If they don't want to do those jobs they shouldn't have to just to live!
Never mind the benefit of overall wage / working condition improvements to all jobs across the board. The power of "My crappy office job is so terrible that pulling weeds along the highway for $15/hour and benefits is appealing, and I can get that job tomorrow" would set standards naturally without needing legislation.