You can’t always make it to the Solomans because the Japanese will usually have at least one naval unit in sz52 after attacking your fleet there and even if they aren’t blocking you from reaching the Solomans you have to be careful not to rush down there because the Japanese have a ton of air power so you could be sending those units into an ambush.
I would say build 2 CV, 1 fig and attack anything left in sz52. He probably won’t counterattack you since he would most likely have to leave a CV in range of your aircraft. Plus, with 2 loaded CV’s in sz56 he would have to leave units in sz62 to protect any TP’s he builds.
You can harrass the Japanese but don’t expect to be able to outgun them because they start out with so many fighters as well as 2 BB’s so they can easily protect their big money islands for a long time, but you should be able to force them to hold a lot of firepower out of other action because they have to keep an eye on your fleet.
And, generally, you can’t get away with evenly splitting the US money between the Atlantic and Pacific but you can maybe add a bomber every turn to send to UK for SBR’s against the Axis while spending the rest in the Pacific if you want to slow down Japan.