Great pic of three very nice pistols.....
Yes, they are nice. And for feel in the hand, pointability, ergonomics, etc, for a lot of people they can't be beat. The Sigs, M&Ps, Glocks, etc are all very reliable and in the hands of a cop or soldier properly trained in their use, will deliver exactly what is promised. I shoot well with those pistols, but to my hands, they feel like I am holding on to the handle attached to a brick when compared to a HP, or to a lesser extent, a 1911. Others, obviously, will feel probably the opposite; good for them, they will make their choices accordingly.
Between the two mentioned by the OP, I would take the 1911 for gun games and competition. For carry, the BHP, no contest. For woods carry, the 10mm 1911, again no contest. But with that .45 ACP pistol he has on the way, my next purchase would probably be a good .22 rimfire pistol: more range time, more shooting, less expense. Or a .22 conversion kit for the pistol on the way if they are offered. I have a High Standard Supermatic Trophy target 22 I bought way back when with different slides, barrels, balance weights, etc. But I also have .22 conversions for the HPs and the Dan Wesson; if I were doing it again, I would just go the conversion route so my .22 rimfire shooting was with the same grips, trigger, etc.