So in this case where 10x is an issue, is it better to use 1x with a divider network? Example pic.
Well if you want to start adding external circuitry it would be simpler to try external ac-blocking first, since it's their selection of ac-blocking cap what is questionable (although I think at one point it was determined that the ac-blocking is happening after the input resistor that forms the voltage divider with the probe, and thus it's not as simple).
Now, I don't really do a lot of AC probing. At most I use AC coupling when measuring noise in switching supplies, but the frequency in those scenarios is usually is high enough for this to not be an issue, and if they were really low-frequency (in the <10 KHz range), I still could get around this problem by not using the probe at 10x.
If I had a need to measure high voltage low frequency AC signals regularly, I would definitely prefer to mod the unit over adding external circuitry or ignoring the issue.