It was dirt simple to just use IntraFi. You just say you want it, and sign the form. If you want a little more interest income, you do some cash flow planning and check the box for laddering.
Thus, an easy prudent solution is to have a second bank, likely a "too big to fail bank", with emergency funds to cover the day-to-day until you can roll over to money locked into time-based investments or the system has worked its course on the first bank.
In my personal finances, I have done that in housing deals going above the insured limit by immediately moving money into government-based financial instruments. Then as appropriate, I transferred that to my preferred investments and risk profile. If I, as a layman doing a once-in-a-decade housing deal, can manage it, then a startup can.
Its small, but also easy to at least partially mitigate.
It would be great if VCs would provide simple cash management services to their fledgling investments, though.