I agree, Alpine speakers are fairly good quality and they aren't overly pricey... I think they're only about $100-$150 CAD for a pair... even less in American funds... or, look on craigslist or something of the sort... there's always good deals to be had everywhere...
As for the speakers not working, have you tried checking the wiring? Do you have the stock amp powering the speakers, or are you using your Alpine? Are all the connectors done up properly? Personally I think the stock speakers kinda blow... They're good for a while, but I like my music loud and agressive... You can beat around the bush and look for a quick, cheap fix, but short of getting a decent set of speakers you won't be doing yourself any good... in fact, you may end up spending more money on quick-fixes than you would on speakers themselves... I took time with my setup and got everything for a reasonable price, as far as I'm concerned... the headunit was free, the amp and sub cost me $100 together, and the Stinger wiring kit plus about 40 feet of good speaker cable ran me about $100... the most expensive parts were the door speakers, which I paid about $250 for all together... however, if you do it right the first time, you won't have to worry about it for a long time to come. Just be smart about it and you can have yourself a system that will pound hard and last a long time...