I was just looking on JPs site the other day and noticed they now have heavy profile 24" 6cm and 6.5cm barrels available; that's something I have not seen them offer before. They typically used to offer light and medium profile barrels from 16" to 22" on the large frames, that's all that was available when I ordered my 2 LRP07's several years ago. Not sure if you can order the 24" heavy barrel on a rifle or upper assembly, but you can order it as a barrel kit.
One of my LRP07s has a 22" medium profile barrel and it balances out pretty well with a Magpul PRS stock, maybe a bit butt heavy. My old armalite AR10 had a heavy profile 24" barrel on it similar to that JP barrel I linked above, and it was a bit nose heavy IMO even with a heavy PRS buttstock, but it was easy to handle and shot well. If I was ordering my LRP07 today I think I'd go with the 24" heavy barrel.
I still want to swap out the barrels on my 2 6.5cm LRP07s as they have rifle length gas ports and are a bit hard on the brass no matter what buffer spring/weight and gas block setting, but rifle length gas was the only way JP made their 6cm and 6.5cm barrels at the time. Debating if I should just get 2x +2" gas port barrels and longer handguards for my current non semi monolithic uppers, or order 2x complete new semi monolithic uppers.