Seriously, 3/8 all-thread is pushing it, ham fisted installer can overtorque and partially shear 3/8", even 1/2".
Plus, if this is not new construction, you are at the mercy of how good the concrete is, esp if bare concrete and not above steel pan.
I'd be very comfortable with 1/2" hiliti thru steel pan into concrete with grade 5 bolts, but definetly not 3/8 all thread into bare concrete
- have seen too many anchors pull out or crater poor concrete - and, have twisted off too many low grade 3/8" bolts and threaded rod to have any comfort in the installation factor - even if you use a torque wrench.
I'd use 1/2" and drill thru the deck if no steel pan. You DO have a bosch bulldog or similar with 18" bits, don't you? :huh: