there are plenty of people who only hang for 24hrs and are happy.
None of them is me

I insist on a minimum of 5 days for all lamb/hogget/mutton, preferably 7.
Butchers often want to reduce the hanging time for very lean meat as the meat, being unprotected by a layer of fat, may discolour somewhat as it dries, necessitating more trimming = more work and also less output.
Many people do not realise how much difference the actual butchering makes to the meat

. A really good organic supplier in Devon took their livestock to one abattoir to be slaughtered, then ferried the carcases a 50-mile round trip to another butcher for cutting; they were simply not happy enough with the quality of the butchering offered by the abattoir. (But had to use a licenced organic slaughterhouse - and were very happy with the handling of the animals and the slaughter side of the service.)
I'm sure that having them indoors on hay and beet would make them taste and feel different to taking them off grass. I always think that 1/2lb cake / head / day on grass is a good compromise - more cake than that and our butcher says you can actually see the difference in the flesh.
However, long slow moist cooking should help. I often do leg of lamb in the Rayburn - start at 150-160F for an hour then 135-140F for another 4 hours or more; the meat melts in the mouth but remains pink inside. If it's hogget I find I don't need to wrap and moisten in the Rayburn, if it's mutton I usually put a little water or wine in the bottom of the roasting pan, and some veg, and cover.
You can do chops the same way, but they don't need as long. However, at such low temperatures, they'll come to no harm as long as you keep an eye on them drying out. (And our meat is very lean too.)
Resting time is very important (with all meat but especially meat that has a tendency to come up tough) - always take off the heat and keep warm (and covered if likely to be a little dry) for at least half an hour before carving.
Mince and stew dishes again will need long slow cooking. Most will be improved by cooking one day to reheat and eat the next.
I don't get to use a BBQ much, but with the meat you are describing I'd be inclined to glaze the chops, cover in foil, and leave at the edge of the grill to cook in their own juices for maybe 30 minutes? And again,
rest before serving.