Also hyperinflation seems very unlikely with the amounts being discussed. Under an ideal UBI. Existing welfare programs would get replaced with the UBI, so that would have a neutral impact on the economy (and if UBI eliminates the welfare trap it could actually be a positive for the economy). The UBI would be a net benefit for those that are currently severely under-employed or unemployed but don't qualify for any welfare programs. But the UBI amounts proposed are fairly small, so would likely only result in a very small increase in demand for food and housing. And we have more than enough food surplus, and plenty of housing surplus in poorer areas of the country that this seems like a non-issue.
So don't do that. Index to targeted inflation. If it's too high and we see more inflation than targeted, the UBI will fall in real terms. If inflation falls short of target, the real UBI will increase. Negative feedback loop - probably stability or oscillation.