Go to yell.com and find the dozen tree surgeons closest to you. Email them and ask whether they'd be willing to talk to you about some of the wood they have going into wood turning. This is what I did, and I had 2 of them reply positively, one is now a good friend and provides about 60% of my wood.
Obviously this wood is all green, so you will need to cut it into blanks, seal it and store it, which means you need some space on the property. I used to have a large stack in the garden, on top of some old concrete slabs, and covered with a tarpaulin. This does take some time, but there are several rewards: it's very cheap. The tree surgeons should not charge you more than they would get for firewood (since they have less work to do). Plus: you get exactly the blanks that you want (instead of having to work with given sizes). And you can specifically select for grain patters, knots, burrs and other interesting features.