If the landlords are not being taxed at least as much as they increase rent, they have an incentive to increase rent in response to UBI. The result could be an inflating effect in essentials like food and housing, even if offset by a deflating effect in non-essentials, disproportionately affecting the poor whose main expenses are essential.
IMO the only viable responses are either rent control, or more elegantly, high availability of public housing at fair rents mixed with private units so as to not create class segregation.
You can tax jeff bezos as much as you want, low end property prices will still go up, (and food etc), because poorer people will have more money, and will spend it on the same things. You might decrease the demand for luxury yachts, but demand for necessities will be the same.
If UBI was financed through taxes, UBI would not have the inflationary effects that you describe.