First things first...
The stop bar can be adjusted as low or high as the strings will allow. The steeper the break angle over the bridge, the stiffer the strings will feel. You do not, however, want the strings to contact the back of the bridge as that can lead to premature string breakage or tuning problems.
Having the bar against the body will transfer more vibration, and that can affect the sound and/or sustain.
Personally, I prefer to top wrap my TOM bridges so I can get a shallower string break and get the stop bar against the body. I only wish I tried it sooner as it makes a change I prefer.
The narrower ABR bridge will have a bit more adjustment room than the wider Nashville, and in particular, the ABR intonation screws should face the pickups as to not come into contact with the strings.
Should you wish to try top wrapping, I recommend saving the old ball ends to add to the new strings. The wrappings can be too long and now allow the right break over the bar. This also prevents the strings from cutting into the slots and creating burrs.