Shimo first,
Don't worry about your eng. tech. position, it was understandable for the last while and cmpanies would approve of you having a job, let alone one still tied to engineering, that time is starting to pass though in Alberta at least.
If you haven't already join some clubs to network. Past the technical ones mentioned I would put my two cents on Calgary Sport and Social Club. Sign up as a single for a sport you would enjoy (even if you are not sports inclined, join the base leagues). CSSC is filled with young engineers that can easily be your future work mates. Something like this also helps polish your social game, which so many engineers lack.
JBan and Shimo,
Hopefully both of you have already found the APEGGA careers posting site, it gets a decent amount of postings on it and seems like a good starting point that goes beyond the uni boards. At minimum this will give you a wider idea of who is hiring.
EPC's (or some combination there of in Calgary at least are staffing up quite a bit, including new hires. Our HR group are doing the cross-Canada Uni tour and the talks are 500+ in the near term. Seek these companies out, like the PCLs, Bantrels, Fluors, AMECs etc. etc. etc. Often the client side companies look for the 3-5 years for their new hires if you didn't co-op with them. JBan, you being in Ontario is not that huge of a hurdle as companies are looking and often phone interviews are used as well.
Find a way to get your foot in the door, either through engineering contacts or HR. Try and find an HR rep and call them if possible, once to introduce yourself and ask about positions, they'll likely tell you to submit a resume on their website, this wa they'll possibly recognize your name though. Don't badger them and be polite as they can scrap anything pretty quikly.
Know about the companies you're applying for and tailor your cover letter to them. I never heard of my current company when I saw their posting but did some basic research and it paid off. At least know if they're engineering only, or construction, or construction management, or R&D, or plant operations, etc. etc.
As previously suggested get others to proof read your resumes and cover letters. Typos or a juvenile e-mail address gets the garbage can, use your university address or create a work only private one that is just your name. This is where your arts degree friends are useful.
For what it's worth mass mailing resumes got me nowhere and it was all my targeted ones that got me interviews. Your cover letter is your only page to sell yourself, use it fully and tailor this specifically to the position. Don' bother focusing too much on your degree, everyone has one of those, and for the most part once you passed it matters very little (unless doing research). Highlight the extra stuff that sets you apart.
Finally if you're interested in O&G field construction mention in your cover letter that you are eager to get hands on experience in the field. Expect this to be at minimum a year term if they ask you and conditions are similar to dorm housing, without a city to escape to. For the most part they're clean and the food is only half way passable but you'll likely be working 10-12 hour days on two week rotations so it won't really matter to you. The additional money helps pay any student loans quickly.
Good luck and get to work.