Maybe Q. nigra X Q. laurifolia?

Oikostrecrops.com has many hybrid oaks. Go there and see what they have. If they have it, it must be possible to cross. but just because they don'thave it, doesn't mean it can't be done. I think Oikos is just one man, and he can't do it all and still feed his family.
They do have a hybrid or two that do include live oaks.
Walter

I'd be interested to know if oaks from the red/black group will cross with oaks from the white group. I've never seen it, myself. Maybe the difference in acorn maturation and germination needs are enough to make viable seed problematic. I have seen a coccinea-falcata cross, and stellata-alba crosses aren't uncommon around here -- all are "whites", of course.

Soeur

It is not possible to cross white oaks (Lepidobalanus) with black oaks (Erythrobalanus). On the other hand within these groups there are many possibilities on crossing, but not every theoretical hybrids can be made due to incompatibilities. On the "third hand", there is a member of the white oak family native to the US (can not recall its name) which can be involved roughly 10 different hybrids - and these are all described in the literature.

DTG,
The crosses you've listed aren't possible, as each includes members of the two different groups, which cannot hybridize with one another, as Levente indicated.
Couldn't access the photo, so I can't weigh in on a possible ID.

I've got a number of hybrid oaks & F2 hybrid seedlings in my collection - mostly from the white oak group, but a few from the red/black group. Some came from Ken at OIKOS, but others from fellow IOS members.

Soeur,
Q.coccinea & Q.falcata are members of the red/black oak group, Q.stellata & Q.alba are members fo the white oak group.

Here is a link that might be useful: International Oak Society

Besides Oikos there is the Mossy oak natives nursery. They have some red hybrid oaks and some white oak family oak hybrids. Live oaks aren't a 3rd family, they are white oak family oaks. So there are on;ly Red and White oaks.

I believe there 1800 varieties of oaks and they should all be able to crossbreed.