If it comes with 11s, try them, see if they work for you and your sound and your playing. They'll have a bigger sound than 10s, and that wound G is harder to bend - if you do that.
Both my 1999 core HB-IIs wear 10s. The 10s (to me) give up a juicier chime and ring, and that works better for me and what I'm after.
But I've got a 1999 Archtop II that only wears 11s. I fingerpick and hybrid pick on that big boy, and the 11s have the bigger sound that works better.
I don't adjust action or intonation on any of them when I switch between 11s and 10s. None of them have intonate-able bridges anyway. They sound fine either way. Easy enough to experiment.
For what a core HB-II costs, the cost for a pack of strings is a rounding error. You bought a sweet ride - just experiment a little, with strings.
Whatever the gauge, I only use nickel wound strings. Calmer, sweeter tone, to my ears.
==K==
PS - Congratulations on buying one of the greatest guitar designs of the modern era. The HB-II is in a class by itself. There's a reason it has never gone out of production in well over 20 years.