The alternative to creosote is, er, creosote.
It's still available from farm supplies, officially sold only to trade customers who know its dangers*. Anyway, you** can get it if you try, in large (50L+) quantities.
Assuming your 'fencing contractor' has some, a 50l tin (I used the old cans from damp proofing chemical, obtained via skip-diving usually), about 1/3-1/2 full, and stand the post for a few days, with some pebbles in the bottom so that it can reach the end-grain easily. You can also paint with 'Synthaprufe' or similar for the below-ground bit.
Nothing else works as well for long-term fencing preservation, although I appreciate the engine oil/Diesel thing is probably cheaper. There are some serious nasties in old engine oil though: I wouldn't want it near the veg patch.
IIRC, my grandpa's mill had a contract to supply telegraph poles for a while. They had a long creosote tank, about 2ft tall and 1ft wide, in which they soaked poles and fenceposts. As a child I was forbidden to go anywhere near it on pain of a good spanking!
Odd aside: we creosoted our back fencing recently. Fearing comeback, I asked all the neighbours first if they minded. Several commented how much they liked the smell!
Appreciate though that, in this weather, you're more likely to get deer invasions, so it's probably urgent right now. The venison route might be self-financing: have you got any good game butchers locally?
Cheers,
E.
*Yup, we can't be trusted with it, thanks to an EU directive. There's no hard evidence I could find that it does cause cancer, only suspicions. Anyway, if it's so dreadful, why was it sprayed on desert sand (in the Sahara in the 1980s, IIRC) to stimulate plant growth?
** for suitably-trained, commercial-use-only, values of 'you', naturally.