Here are the standard ranges for some heavy USN guns:
-- 8"/55 Mark 12-15: 29,800 yards (27,250 m) at 41 degrees elevation
-- 8"/55RF Mark 16: 29,800 yards (27,250 m) at 41 degrees elevation
-- 8"/55 Mark 71: 32,000 yards (29,260 m) at 41 degrees elevation
-- 12"/50 Mark 8: 38,573 yards (35,271 m) at 45 degrees elevation
-- 16"/45 Mark 6: 36,900 yards (33,741 m) at 45 degrees elevation
-- 16"/50 Mark 7: 42,345 yards (38,720 m) at 45 degrees elevation
Base bleed rounds would thus give something like this:
-- 8"/55 Mark 12-15: 38,740 yards (35,425 m) at 41 degrees elevation
-- 8"/55RF Mark 16: 38,740 yards (35,425 m) at 41 degrees elevation
-- 8"/55 Mark 71: 41,600 yards (38,038 m) at 41 degrees elevation
-- 12"/50 Mark 8: 50,145 yards (45,852 m) at 45 degrees elevation
-- 16"/45 Mark 6: 47,970 yards (43,863 m) at 45 degrees elevation
-- 16"/50 Mark 7: 55,049 yards (50,336 m) at 45 degrees elevation
However, there are also some interesting systems under development or currently in service. The
Vulcano system uses a subcaliber sabot round to significantly increase range. The
127 mm/54 gun normally has a range of 25,290 yards (23,130 m) at 47 degrees but has a range of 100 km with Vulcano shells, and the
127 mm/64 gun is expected to have a range of 25,290 yards (23,130 m) at 47 degrees but have a range of 120 km with Vulcano shells. That's an improvement of around 4.323 to 5.188 times in range.
Project HARP used a 16"/100 gun to fire sounding rockets and could have put small payloads into orbit, so I think these impressive figures might be scalable.
Using the lower estimates of 4.323 times, these ranges could be expected with subcaliber sabots:
-- 8"/55 Mark 12-15: 128,825 yards (117,802 m) at 41 degrees elevation
-- 8"/55RF Mark 16: 128,825 yards (117,802 m) at 41 degrees elevation
-- 8"/55 Mark 71: 138,336 yards (126,491 m) at 41 degrees elevation
-- 12"/50 Mark 8: 166,751 yards (152,477 m) at 45 degrees elevation
-- 16"/45 Mark 6: 159,519 yards (145,862 m) at 45 degrees elevation
-- 16"/50 Mark 7: 183,057 yards (167,387 m) at 45 degrees elevation
Similar figures could be expected from the
ERGM and BTERM rocket assisted propellent rounds, assuming their performance scales. However, they significantly increase barrel wear and not as many rounds can be carried.