Can we make a floating metal ball?

That’s quite some hot air balloon though. It’s a heck of a lot of air to heat, even if by only one degree.
And then what? The sphere would barely float (since I presume 1320 must be the absolute minimum size), lose heat to its environment, and drift back down again.

Playing devil’s advocate, I suppose a sphere based on a greenhouse effect could achieve a temperature gradient of 1 degree with its environment using sunlight only. But still, you wouldn’t want a metallic material for such a sphere – you need something transparent and insulating – and that’s what the OP is about.

So we’ll just guide our ship to new lands.

but it would be very easy to spot on radar!

As long as they don’t send in any pesky blue hedgehogs we’ll be fine!
Plays Death Egg Music from Sonic 3 & Knuckles

Alternate ending:
So long as they don’t send in any X-Wings we’ll be fine
Plays Imperial march

Really hard to follow some of this stuff, but what I want to know, given that there is technology to manufacture “foamed” metal is if we are closer to a reasonable solution for the OPs requirements by using a foamed metal skin (closed cell for vacuum retention) of say 50% density.

My guess is that there would be 8 times the resistance to buckling.