You are way, WAY too paranoid about bacteria in tap water, in normal circumstances, unless maybe you are talking about tap water from a suspect / untreated private well, or have a compromised immune system.
In normal circumstances, municipal tap water in a sealed disinfected container* will keep @ room temp. for many weeks if not months, because it has lot of chlorine and (more commonly, these days) chloramine in it. Chloramine is actually hard to remove, because it doesn’t evaporate out easily, and must be boiled out over a considerably longer time than chlorine.
https://aquanswers.com/how-long-does-it-take-for-chlorine-to-evaporate-from-tap-water-entirely/
*Wash it out well, then fill it with cold municipal tap water; if paranoid let it set for a day, empty & refill with same.
“Store bought” bottled water should keep even longer, but if your municipal tap water properly stored does not keep for at least a month, something is seriously wrong with either the source or your storage method. This is not Mexico - I hope!
I suppose if one has drunk only bottled water from birth, then one’s resistance to likely remnant bacteria in virtually any water source might be low...
Does a device like Zero-water filter out bad stuff (other than minerals) from well water?
So what about coolers, etc. Most stores are sold out around here