^Are you sure. A smaller population is easier to control then a large one. So the monarchs if they had gone to Alaska with a decent military force they could have stopped the Russian revolution from affecting Alaska. Also, they could have asked the US or UK. to send help since the US and UK. would not be too happy if the Russian Revolution happened to take root in Alaska near Canada and the US.
And why would the Russian Monarch have gone to the UK. or somewhere else. Once a monarch leaves his nation it is usually harder for them to return or to rule any future nation. If they had at least gone to Russian Alaska they have at least a place which they could rule over.
Yes, pretty sure. I'm not claiming to be an expert but how would they even get to Alaska in the first place? They couldn't even get out of Russia in OTL. And where are they going to get these military forces to stop the revolution from affecting Alaska, and to prop up their regime there? The Tsarist military literally fell apart with the Revolution and the Whites were basically a bunch of conflicting ideologies with only one common interest, that being anti-Communism.
They would've went to the UK or fled to Europe in general because the British nearly offered asylum to the Russian Royal Family OTL. Some of the former Romanovs also settled in Denmark, and in Paris, Berlin, Belgrade, and even Harbin and Shanghai had thriving White émigré communities. Alaska is of little value, as I said before it's rather isolated and sparsely populated. The Romanovs would be better backed up by foreign money and troops, things that Alaska can't really offer them.
Alaska remaining part of Russia after the Revolution, or being annexed to Canada seem to be the most likely options. If Russia goes communist, you can be sure the British would probably conquer it during the messy allied interventions in Russia and attach it to Canada, with tacit American approval.