To answer your question. I believe its faster if you apply in person. I downloaded all the forms from the website, filled them out, got all my references and transcripts and when all my paperwork was ready I went in-person to the CFRC. They looked over my application and gave me an appointment to write my CFAT the next week. After I wrote my CFAT, I got my medical and interview booked for just four weeks later.
You said you wanted the combat trades, but I'm pretty sure they are all closed for the fiscal year. Phone the recruiting center and ask them if those trades may open up again this year, if not, ask them when you may begin applying for the next fiscal year(starts in April).
I applied for Aviation Tech and Vehicule Tech but I applied too late(both were almost full) so If I get an offer, it will probably be in the 2012 fiscal year.