London Colin said:
if you are happy to risk 5% of your BR at that advantage then it can't make sense not to do so.
To backtrack a little further on what I said

...
The advantage is of course a function of the strategy you plan to use when playing the hand. I suppose the way to work out in advance how best to handle this kind of situation would be to compare the EVs and variances of the different strategies -
- Play (count-adjusted) Basic Strategy, as normal.
- Never double or split.
- Never double, but split (Once? Multiply?) if BS calls for it.
That would give you the Kelly fraction of your BR appropriate to each strategy.
Calculate the amounts to bet if you are, say, a 1/4 Kelly bettor. Then multiply by the respective EVs to see which gives the greatest win-rate.
The more the normal, BS EV depends upon the ability to double and/or split, the more incentive there must be to be conservative with your initial bet, so that you can stick with BS.
With a guaranteed ace, I imagine the chance of getting a natural must be the dominating factor, so you wouldn't lose much by following at least a no-doubling strategy.