Bad news fella, your budget is a bit shy for your list of requirements.
You may find a 5-5.5m within budget, but 'low hours' is a big ask.
Just a tip, a 2m difference in length re. rib length is massive. To say 'I'm looking at 5-7m' is akin to 'I'm looking for a small family hatch of a Landcruiser' Add to that a tight budget and it may pay to stick around the 5m and not waste fuel on viewing 6m+ shaggers.