I don't know if one flat is going to be enough if it's so lean it's causing a backfire..
I agree. Try going a full turn and see what difference that makes. If it pulls better but idles too rich, you may have worn mixture needles and/or jets.
Normally the mixture nuts are the only mixture adjustment required on the early SUs. But it is possible that someone has replaced the springs or needles, both of which also affect mixture (and are used to adapt the carbs to modified or different engines).
You're still using points, right?
Another test worth doing IMO is to use an ohmmeter (or DMM on ohms scale) to check the "end to end" resistance of each spark plug wire. It's possible for them to fail internally and still look fine. And since it takes a lot more voltage to fire a plug under full load than at idle, the problem may only show up under load.
As a last resort, it is worth trying a new cap & rotor. Again they can sometimes fail and cause your problem, while looking perfectly fine.
Random anecdote:
On the way home from VTR 2000, a local club member's car went from running badly to not running at all. There were 5 or 6 of us all trying to diagnose the problem on the side of the freeway. Eventually we discovered that there was spark from the coil, but none at all from the distributor. Rotor was brand new (from the show) and looked the part; yet it was shorting the spark to ground. Even after we knew it had to be the problem, none of us could see any flaw at all except for one tiny spot that _might_ have been just a little bit duller than the rest. After cobbling a replacement from a cut-down TR6 rotor (go figure, none of us had a spare 4 cylinder rotor even though most were driving 4 banger TRs), the engine went back to idling OK. But I thought there had to be a reason for the rotor failure, so I checked the plug wire resistance and sure enough, one of them was bad. Cut the plug boot off (it had fallen apart during examination), stripped the wire back and attached it directly to the nut on the spark plug. It was still running great when we got to LA (although of course Doug replaced the wires & rotor once he got home).