the closed tine warcomp will work. it has a longer neck copared to the others. i haven't done it but there is enough out there on the web that show it works. without that you will likely have to shave down the sides of the handguard that extend.
i would also like to add, when i was doing my 13.9 build. i had three barrels at one time decided what to do. Criterion Core, BRT HF Optimum, Centurion Arms CHF LW. I ended up chosing on based on gas port size and profile. Core is the best profile, but had a 0.078 gas port size, Centurion LW had the worst profile (still love centurion barrels) but had the best gast port size of 0.074". the BRT had a great profile and good as port size of 0.075". wish centurion had a better profile or midweight 13.9. anyway, i was test fitting them all on my upper and the core was shorter than the rest. i know they call them 13.9 but it was noticable. i didn't torque it all down but a good hand tightbarrel nut and rail installed you couls tell the core was short so i would of had to use more shims. the BRT and Centurion looked identical to me. this was before test fitting MD.
another thing to note some threads are longer and some are shorter. i have seen some threads on the end of the muzzle as short as 0.4205" and some as long as 0.701". general rule is always use .5 inches for threads when determining length of MD to see where you stand but i tend to use 0.6"