While the EVO is an awesome car the regular lancer is a peice. Mitsubishi really did a good job with the EVO but they have ingnored the base lancer. If you have to choose forget the base lancer. Even with FI it will never be as fast as an rsx with similar amounts of cash in it, not to mention the fact it looks like shit and is very no frills. So if you really must pick you will be much happier with the base rsx. You may not wanna hear this but if it is your first car that you just bought, you dont wanna turbocharge it. Doing so would be like burning the Mitsu factory warrenty form. Most importantly though, chances are you will fuck something up. You are obviously inexeirened and the last thing you need is an aftermaket turbo car. Plu it would cat you a lot more than 5grand to do so.
What you really should do if you really like the rsx is simply talk your parents into spending a few extra grand for the type s. I got mine for 21500 OTD. Its a much better car and you get a lot for the few grand difference (ie leather interior, 6spd, nice stereo, and an extra 40 hp from an all aroung better motor). Then you can just work from there. If you look on the lancer forums you`ll see that none of the regular lancer have done better then 13s. Something thats relatively easy in an rsx with NA mods.
If you want a stock turbo car in that price range then i suggest you check out the SRT4. Yes its american, yes its technically a neon, but it is a very nice car for the value. The whole "boy racer" thing isn`t my style but some people are into that look and its still a very faced car. I`ve raced a few in my RSX-S and i`m not ashamed to admit i got uterly punished. They are easily the most underrated car today power wise. I think Dodge claims 240 at the crank but my friend just dynoed his and made 238whp. From a roll most people have no trouble keeping up with stock evos. You can pick up one for 20k brand new and they come with a LSD now as well as bigger injectors. I still like my rsx better though, overall its a much nicer car the SRT4 just has more power.