I own a 1066( same basic pistol as the 1076 except mine has the slide decocker where yours is frame mounted). and carry it often. You need a good holster and belt as these guns are HEAVY but otherwise there should be no problem carrying one of these.
On the over-penetration issue I run 155 or 165 grain Underwood JHP as my carry ammo. Hits HARD and does massive damage but expends quickly and drops all energy on the target.