Quartering shots require the most penetration, which is the specialty of bullets like the GMX and TTSX line but you're saying those are the shots you'd pass on if you used those bullets? Those are the shots those bullets are BUILT for making. I've never passed on a shot because the gut job might be messy. That's just part of the game.
You are playing the game differently than I am, then: I shoot deer in order to eat them. Scattering poo and soon to be poo through the body cavity and beyond does not make for good table fare, IMO ..... YMMV, but I'd rather pass up the shot than season the meat with that stuff.