Nearly all roads have space for cyclists (except motorways and a few with very specific restrictions), ride in the fucking lane, hold your line, communicate with other road users.
Though I have nearly given up with the A3, on more than one occasion I have been on that road on the inside lane, with only one other car coming up from behind and yet the driver chooses to do a punishment pass - when there are 2 more lanes they could use.
There are only a few A roads that I won't go near[1]:-
The A47 (Acle Straight).
Large chunks of the A3 from West Hill (approaching Tibbets Corner) out into the sticks (there are much nicer alternatives)
otherwise I've done plenty of A-road bashing in my time.
There are plenty of shittiter an nastier B and unclassified (C-roads, remember them?) roads. The A15 in Lincolnshire is fine compared to the B1188 that runs kind of parallel to it.
Of course, I've not ridden on the majority of A-roads in the country. But I've done a far number all around the country due to riding many an Audax[2].
I really should upload all of the GPX files to Strava so I can show how slow I am and get one of those heatmap images...
We are talking about exactly the same bit of the A3.
We are talking about exactly the same bit of the A3.