Did some more research, it seems that the ST 3135 case will only accept gen dial (27.2 or 27.3 mm from this thread
https://rwg.cc/topic/177427-midcases-tc-vs-star-time-vs-phong/). Ah well, I guess I'll abandon the BP 16613LN dial idea.
I do love the BPs for their value, but the dial size and rehaut aperture is quite frustrating, not to mention the ETA datewheel position as mentioned earlier in the thread. I only held on to my BP 2836 16613LB for a few weeks before flipping. Also if anyone needs to know, the dial size for the BP 2836 16613 is a whopping 28.8mm.
Also, even though TDs advertise the BP 2836 5-digit sub as A2836, I am pretty sure A2824s are inside. I know mines did, the date didn't immediately click over. The Rolex font champagne date disc is available from rafflesdials, for 2824.