I just find your predicament a bit odd. Its Your choice of course, to carry what you want, but it will take some effort to find a good carry setup.
I have used a belly band to carry a M&P9, XD40sub, and Glock19 under just under a t-shirt. I'm sure you can carry a full size 1911 too or any pistol of that size, but remember the tradeoff is size and weight obviously.
The Glock pocket carried will bounce around if you are doing any running or active exercise.
if you've never seen a belly band, they look like this and cost about $15.