From the first log of this I have roughed out/whittled a couple of potential bow staves. Fingers crossed that when it's time to tiller them they won't break, but with some knots and cracks of concern here and there, I'm not so sure. I will wait longer for the other log (smaller) to dry; I think it tried to split it way too soon.
From working the wood, the sapwood is white, creamy and relatively soft but very strong feeling too. The heartwood was very light colored (almost same shade as sapwood, though this is a relatively young tree) very moist and fibrous but still pretty tough stuff, and ripped/shredded everywhere from draw knifing. I might have a slightly concave belly in some places too. Will post pictures if they don't turn into firewood; waiting for them to dry more for now.
I had another couple ideas:
Could it be red mulberry? I remember seeing some crushed dead leaves that were rounded and sorta mulberry like lying around. Might have been too early to see flowers or berries (why I should wait till I got an ID before I cut something next time) Is mulberry diffuse porous or ring porous and does the wood coloring look like a match?
It could also be Sweetgum of some sort, but I don't remember seeing a lot of gum balls on the ground. The bark didn't look exactly like other sweetgum trees that tends to be a bit more scaly. I'm not sure about Tupelo.
It is most definitely not: oak, hickory, maple, magnolia, tuliptree, probably not sweetgum but possible, and it's not dogwood, all of which grow in my locale. It is a relatively dense wood, and you have the pictures there.