Help locating new greenhouse
I moved into a rural location at the end of last year; most of the upheaval is over, and I'm now looking to buy a decent greenhouse (8x10 or 10x12 depending on cost), and wondering where to locate it in my garden. I've read up, general consensus seems to be an E-W orientation, but avoid locating near/under trees. That's a problem for me, as my garden is surrounded on all sides by mature trees of different varieties (including Scots pine, lime, holly, sycamore, beech, oak).
I have plenty of room to the north-east, east, south and south-west, but all these areas have trees on the boundaries; the eastern boundary seems to be mainly youngish damson trees, possibly self-seeded. In the absence of a 'best' option I suspect I'll have to choose the least-worst option, I'm hoping that someone might be able to tell me what that might be please.
Plan below shows plot and some planting that was needed for planning permission.