Well depending on where you're living, I guarantee you can find a "ski in and out" place for 250k. But it's going to be a shithole and it's probably not going to be a ski-up (literally ski to your front steps. You're going to have to walk a bit.
But as people before mentioned, HOA is going to ass-rape you, and maintenance on a 250k home with prime location is going to be absolutely ridiculous since it will be a mess.
Also, a 250k price tag doesn't imply 250k and you're done. There are a ton of factors to how much the house is actually going to cost. Going to a mortgage calculator on google and putting in 250,000 + applicable down payment will only give you mortgage. That won't give you closing costs (very pricey for what you're looking at), earnest money, and all the accoutrements that come with buying a home.
If 250k is the top of your budget, then don't spend over 175k. In the end, you'll pay close to the top of your budget.
They call me Captain Obvious.