I've also thought about this, I decided if I was going that direction I'd probably just pin a cz527 to 16" instead of dealing with the other various platforms' magazine issues after adding a chassis, and dealing with the sbr process.
I'd almost even consider an ar upper and a barrel without a gas port plus a side charger or something-I already have a few ar sbr's
Anyway, here are MDT and XLR's responses:
MDT
Q:I am interested in building an SBR in 300bo using a Rem Model 7. What barrel lengths would clear the fore ends of the LSS, LSS-XL, and HS3 while allowing just enough room to mount a suppressor?
A: On the Remington Model 7 chassis ahead of the recoil lug measures:
LSS 8 inches
LSS-XL 11 inches
HS3 11.5 inches
XLR
Q: I am interested in making a Remington model 7 SBR. What length barrel would just clear the fore end of the element chassis and allow enough clearance to mount a suppressor?
A: I would recommend at least an 11" barrel. The Element hand guard is 10.5" measuring from the recoil lug forward.