Peyote are wonderful and very precious cacti. But they are slow-growers unless you graft them. I heard it is considered illegal in the U.S.A to grow peyote cactus.
I tried to harvest some of mine and when I dried them I had only 20 grams. Way too less for an experience of the other kind with that amount.
A good alternative is growing Trichocereus, pharmer already mentioned what to look for. The best way to do that is not from seeds although it is an option.
The faster way is getting large cuttings, rooting them and letting the pups grow from them.
A good size of a cutting can be 3 to 4 inches in diameter and 10 inches long.
Also you need time with cacti, always.
An example: I purchased a trichocereug bridgesii cutting, 16 inches long and 4 inched diameter. Unrooted.
It took 5 (!) months for it to root. Then it took 3 months for it to grow again. That was last summer.
This summer, hopefully, it will thrive some pups. Once that happens they will grow very fast.
That's the way it is with cacti, be it cuttings or seedlings.