The 597FA is listed as a Propane regulator, so I do not think that it is suitable for natural gas.
Regulator LV4403B46 is also for propane and it seems to be undersized.
The meter can handle 400 CFH if you allow about 1.1" of w.c pressure drop.
View attachment 622189
One cubic foot of propane = 2,516 BTUs compared to one cubic foot of natural gas = 1,030 BTUs.
Propane contains more than twice the energy of natural gas.
Rego LV4403B46 second stage propane regulator, used on the "house". Used in conjunction with Rego LV4403TR9 First Stage Regulator.
www.propane-regulators.com