First question. What carbs are you running:
Stromberg
Twin HS4
Twin HIF4
For the stromberg I have no recommandation.
For the SU it is easier.
1st stay away from MOSS for this you actually want to run a Lucas either 25D4 or later 45D4.
The most important thing here is the vacuum pick-up. On HS4 it is a ported one (on the carb side).
The best is an aldon distributor:
https://www.aldonauto.co.uk/aprods.htm
101BY1 A distributor with vacuum advance, designed to replace the original distributor on std. MGB's and Marina TC's, fitted with HS4 SU Carburettors. N.B. Later versions of these cars have the vacuum advance pipe connected to the inlet manifold not the carburettor, use 101BY2 for these applications.
101BY2 A distributor with vacuum advance to suit std. MGB's and Marina TC's when fitted with HIF4 SU carburettors. Improves driveability, while retaining the resistance to 'run-on'
As you can see the HIF4 carbs require a different distributor.
I think I saw that LBCAR stocks those items:
www.lbcarco.com
Once you have a new distributor I recommend also that you install the proper electronic ignition.
Finally if you have a set of HS4 I have a brand new 45D4 type 41427 that I could sell since I am not using it.