If you just have one stump to pull then you do have a lot of options. Digging with a narrow shovel and chopping roots with an axe is my first choice. I've never had any luck pulling them out.
I had a 3 acre area with about 80 stumps to remove. That requires a grinder or a bulldozer. I bought a stump grinder on Craigslist, used it for 6 months to clear the land, and resold it for a few hundred bucks more than I paid. Pretty lucky.
You might consider using the #ghsc tag and following the members of the Global Homesteading Collective.
RE: Pulling Out A Stump With A Come-Along