Yeah, Darren, I have some experience with that.
I have an RG2027 and I tune my 7th down to Gb. Obviously, that low, you need some heavy gauge strings. I currently use a .068 on the lowest, and .010-.052 for the rest. (I would maybe use even heavier strings, at least on my 7th, if I didn't have a skin allergy to nickel. So, that limits my choices.
Since I have this condition, I'm real careful on string selection. I use Elixirs now, and they seem to keep me 95% reaction-free. But, as Elixir's thickest gauge GUITAR string is a .068, that's what I use. I used to use a .059 D'addario for the Gb 7th, and it worked our pretty good to be honest, but when I had enough of ANY nickel strings, I switched to Elixir. NO .059's, so I went with .068, and it does sound better to be honest. Thicker is much better with these low tunings.)
No problems with the string and the Lo Pro trem. I string my axe up 'Rich' style, with the ball ends stopping right at the hole to the tuners. (No need to clip'em, and never have to worry about poking yourself when touching the headstock.) The .068, probably similarly to your .072, Darren, just squeezes into the tuner hole, but the wrapped part on the ball end doesn't fit through. Rich advocates cutting it, but I don't. I just leave it, and bend it so that it faces back parallel to the neck. Looks fine, and again, no sharp edges. As for the cut end, where it goes into the locking mechanism on the bridge, no problems with string angle, or flopping, or anything for that matter. The .068 behaves just like any other string does on the bridge.