A "Britain drops out" scenario, the US is going to occupy Iceland as OTL, they most certainly will not allow any potentially hostile forces (such as Vichy) in overseas territories in S. America and Caribbean. Naturally no German forces will be allowed period (yes, "control" officers possibly in Vichy territory but nothing else). Very likely the USA will have bases in Azores with (or without) Portuguese consent, and the Canary Islands can be seized if the Germans don't get there first and fortify - there were contingency plans for this.
Assuming bases in Iceland, Azores, Canaries the U-boats can be contained pretty well. Furthermore its 1800 air miles from the Azores to Berlin, 2240 air miles Canaries to Berlin, Iceland to Berlin 1420 air miles. With those bases, air attacks on Europe, especially with in flight refueling very doable. Of course having said that, in a non-UK scenario sending bombers over Europe with out escort would be a slaughter. Bombing around the edges certainly is doable.
The USA can take over French colonies in West Africa, and build up bases there. Between the islands above, and infrastructure in West Africa, a landing in North Africa and subsequent campaign there is doable. Assuming the USA now holds North Africa...
Sending US forces, other than air forces, to the USSR in a no UK scenario is simply not possible. Forgetting Stalin's paranoia, incredible problems of command & control (imagine Soviet generals expending US troops like they did their own), supply will be impossible. No way the US can send supplies via the northern route, the Luftwaffe & Kriegsmarine will shit that, and through the Med...forget it. That leaves the through Iran route (iffy) and if no Pacific War, have both US & Russian ships to Vladivostok as well as ferrying aircraft Aleutians to Petropavlosk. Unfortunately the capacity of the trans-Siberian RR to carry supplies westward is limited. The US is better sending supplies absent significant troops to the USSR, their problem won't be manpower but "stuff".
In 1940/41, Spain was a basket case. One of the reasons they never jumped in with the Axis was the reality that absent petroleum and food from the Western Hemisphere, in particular the US, their economy would completely collapse and they'd starve. Even if not fighting the UK, the Axis cannot supply the food and oil Spain needs to survive so Spain being more than a strongly tilted neutral is not happening. having said that, absent the UK Italy and Germany can pretty much control the Med until the US has the southern shore...