Hello,
Dear Jon, there are flaws in what you have written about oils. Yes, you are right, there are two basic kinds of oils: drying oils and non-drying oils.
Some drying oils contain chemical dryers to fasten their curing, but not all.
Mineral oils are non-drying oils. Light machine oil and lemon oil are good examples of this group.
Some vegetable oils are drying oils. The drying characteristics of these depends on the actual chemical composition of the oils, and the amount and type of fatty acids in them. Linseed oil, walnut oil, tung oil are good examples of this group.
Some vegetable oils are non-drying oils, like rapeseed/colza oil, sunflower oil, or olive oil.
Some are half-drying, like poppyseed oil, or soy oil.
The drying properties of vegetable oils can be improved, the drying time shortened, by "boiling", a kind of heath treatment, pre-polymerization of the oil in fact. Boiled oils dry faster, and to glossier films. Boiled linseed oil, stand oil, boiled soy oil are good examples.
Dear Rob, ash is not a particularly wear resistant wood: it is prone to fungal attack and decay, so not the best choice for an outdoor project. Black locust/robinia, oak or chestnut would be much better. Finishing an item with drying oils adds some water repellent qualities, but gives no protection against fungi and rot. Treat your items with a solution of tannic acid, then give them a few coats of tung oil. High tannic acid content is the key factor behind the durability of oak, robinia etc.
Have a nice day,
János