Yes he would have averaged well over 100. One thing a lot of people don't know also about Bradman is all the time off he had whilst in his prime. When he came back he was just as good.
Bradman was found out in 1932-33 to a certain extent, the bodyline tactic had him averaging in the 40's versus Voce and Larwood's quick bowling until the fall out of the Adelaide test(I think the warm up games he was also got out cheaply in a game if correct). For political reasons Voce (out for a couple of series- asked MCC not to pick him) and Larwood never saw test cricket again afterwards despite their ridiculously successful records for Notts. He was replaced by Bill Bowes of Yorkshire, a fearsome pace bowler widely criticised for his short bowling after bodyline, and who was picked as a replacement but told not to bowl short (and who was injured in the 1937 Ashes).... I wonder if anyother batting side has been blessed with a political arrangement that made batting much easier.
The longevity of his career is also a bit of a fluke. Hedley Verty (who is known as the best foil Bradman had in his career) bought it in WWII in the Invasion of Italy. Ken Farnes bought in in the RAF in 1941. Bowes was captured by the Germans in the fall of Tobruk and lost 4 stones in weight, only to play one more FC match due to fitness issues. Alec Bedser was suffering still from a stomach issue he contracted in North Africa due to bad diet and this restricted his input for a while as he couldn't bowl. Bill Voce had lost 2-3 stones due to food rationing and had lost all of his pace....a problem for all England's bowlers at the time in fact.
The 1946 Ashes in themselves, to account for this downturn in English crickets fortunes, was considered a glorified friendly by the English team who's squad was selected for a showpiece event by picking established names, some no longer peak test worthy, for fan interest than competitive reasons. When Hammond's team arrived in Australia they were distraught to find out that Bradman's Australia team was picked to win on all accounts, and had been playing NZ in an unofficial test series to blood the youngsters.
Hammond never uttered a word to Bradman all series as he was livid with what he thought was gamesmanship...... Bradman was caught out in the first test for 20 but refused to walk (made 187), and was also on 20 when he refused to walk in the 2nd test (made 287) ... Hammond was distraught, and still playing to the nature of it being a friendly, did not petition the umpire to overrule the gentleman's code (although the Australian dressing room were united in the fact that Bradman had indeed been caught).... in a later test, Barnes also refused to bat when it had rained claiming the light was too bad in order to protect Australia playing the last session on a sticky wicket England had been blasted out, and the next day him and Bradman pilled on the runs on a dried out wicket that had become tame.
The English team in 1948 was still rebuilding from the war years and its fall out, while the Aussies were game to use their advantage to stomp England to the ground. In these "invincible" years the War had heavily disadvantaged England, particularly their bowling attack, and this can be seen in the fact England had competed well in Australia in in both 36/37 (won first two tests) and won in 32/33..... now Australia were coming to be the first side not to lose a tour match in the series, and in 1948 the English bowling was so under primed that Bradman was not the only person to blast them apart..... I think all 6 Aussie regular batsman averaged at least 50 or thereabouts, with 3 averaging between the low 80s and mid 70's.
I wonder how the Australia 2000's team would have coped against England if we killed Shane Warne and Glen McGrath off, told Brett Lee he couldn't play again after hitting Alex Tudor with a bouncer, put Stuart MacGill in a prison camp 4 years before the start of the test match and left Damien Fleming and Stuart Clark with two slices of bread to eat a day before asking them to bowl 30 overs a day..... I am sure you might have found Nasser Hussain averaging well above 30 a series. Mike Atherton for a start might have actually scored Ashes runs.
Not sure how much the fact not wearing a helmet mattered when the first person to get injured seriously by a bouncer resulted in Australia nearly leaving the commonwealth.