It all depends on the speaker. I’ve heard the Wilson Tiny Tots up against the wall and they sounded fantastic. If your speakers are rear ported, you want them to breathe, if they are front ported, then you have options. I have large floor standing speakers and they are 7’ from the wall behind them.
No matter where you place the speakers, you are always going to have reflection issues: 1st reflection, 2nd reflection, ceiling and floor. All reflections should be dealt with.
ASC aren’t the only vendor that makes bass traps. I use both ASC and GIK bass traps. Check out both of these companies plus acoustic field and others.