A strapless bra has to do with a band and side boning what a normal bra does with two straps, so it is engineered harder and it is worn tighter — that is the trade, not a flaw. Buy the Red Carpet when the neckline decides it, and buy the Elevated Allure for the days it does not. Wearing a strapless as an everyday bra is how people conclude that strapless bras do not work, when what happened is they wore a specialist tool for eight hours.
Why the strapless costs more effort, always
Removing the straps removes half the structure, and it has to be replaced with band tension, boning and grip. That is a harder garment to make and a more particular one to fit, which is why the honest advice is to buy one for the necklines that need it rather than to look for a strapless that behaves like a normal bra.
Neither solves a badly-fitting band
If the band rides up at the back, that is the band, and no amount of strap adjustment or boning changes it. Fit the band first; everything either of these does depends on it.