Take a look at an Alchemy Prime Elite. Rob is making some fantastic pistols and they represent an excellent value considering how well the features and craftsmanship stack up against Nighthawk, Guncrafter, and Wilson Combat. Retail is $2995 and from your description it would be a perfect fit. The high cut front strap feels great in the hand. My Brimstone (CCO size) is more accurate for me than a few other Government sized pistols.
Alternatively, the market is very soft right now so a gently used pistol could make your budget go a long way. I frequent 1911Addicts a lot and there is a lot to choose from with a $3k max.