Who can run for both president and a statewide office?

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I know that only a few states allow his favorite sons and daughters to seek election to both a statewide office and the White House. Biden's double election was a rare exception, whereas Rand Paul, e.g., couldn't go both ways and thus initiated a caucus for his home state Kentucky, which went a bit awry for him.

The following politicians are reported to be potential candidates for the White House.
Which of them can run for both president and senator/governor?

Bullock, Castro, Collins, Cooper, Cotton, Greitens, Hickenlooper, Inslee, Justice, Martinez, Merkley, Sasse, Shaheen, Warner

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Cotton probably would have tried if Clinton had won. Arkansas lawmakers already were trying the change the rules, and I think Cotton would have been the perfect candidate for 2020 (on paper). The establishment would take him over another Trump, he has some populist credentials (supported a minimum wage hike and most importantly he was a rather vocal Trump supporter in the general election), and he also is a Tea Party darling. But he could also just be a paper tiger. On paper Rubio was supposed to be the solution to all Republican problems and that didn't work out too well.

Thanks for your answer.

Does anybody know a map about where a governor/congressman can run for both offices (like Biden did)?

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You are correct that state laws change quickly when needed to support a favorite son. In 2008 the Obama campaign was worried that Super Tuesday would give Clinton such a large lead that she would lock in too many superdelegates. They got the legislature to move the primary from the third week in Mar to the first week in Feb. That gave Obama enough delegates that he could build his lead through the Feb and Mar caucus states and leave Clinton scrambling in the spring.

Why didn't the Kentucky legislature change the rules for Rand Paul.
Do the KY Republicans not like him?

And what about Rubio? Was he able to run for both offices last year?

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KY House was Dem controlled until 2016, so KYGOP organized a caucus. Rubio wasn't allowed. AR has already amended the law explicitly for Cotton, but the cycles won't coincide again till 2032.

Wut? How did the Dems manage to do that?