Get private insurance anyhow. A lot of the black swans that can hit young, healthy people will make you uninsurable in later years of the policy you could get now and/or will make you want to quit to spend limited time w/ family.
The marginal cost of the second and third million dollars are very small next to your monthly income, you're presently underinsured relative to your earning power, and your heirs will not regret the extra money in event they need it
Examples might include "I see line of sight to being responsible for my parents' upkeep in their retirement years" or "I have been awarded options which would have a material exercise cost."
You: I want $X million in coverage.
Underwriter: Per guidelines, based on your income, we think $Y should be sufficient.
You: I work in tech and feel I have a likelihood of eventually having options exercise cost.
They're worried about adverse selection. Purpose of term life is protecting future earnings; saying "I want way more than future earnings" suggests either a) you know more than them re: your health or b)
If you have specific cash needs which aren't naturally reflected in your future earnings, though, underwriters are very willing to accommodate those, particularly if documented.
"Here's proof of employment by a tech company."
"And can I see the options paperwork."
"That's private."