That's why I'm wary of getting another bimmer.
His budget is 10ish.
You'll be easily able to afford these cars in the budget, though they will most likely be Automatics... I've seen a few go under your budget (mainly E46's) and you can sometimes pick up an E90 for just a little bit more than $10,000, though I'd negotiate the price pretty heavily as you'd like to leave a little aside for maintenance.. Yes I've done research as I'm in the market for one currently...
6 cylinder BMW's are easier to work on than 4 cylinder Mini's and are more reliable, but if that still scares you away, you could go for a manual 4th or 5th gen Subaru Liberty which you can find for under $10k, I'd go for the 4th because they feel a little more premium but I used to have a 5th gen Liberty, which was really reliable and quite nice (It did over 120,000km in the first three years and never had an issue)...