I had 4 pcs cut in 3/8" steel plate, total cutting was about 4.5 metres. The cost was about $120 for the cutting and 50$ for the plate. The $150 was the minimum charge but I felt that I could splurge and have the holes done by the waterjet as well. Yes, I could have made the cuts myself, but it saved me bandsaw time, a bandsaw blade wear and nearly an hour locating and drilling the 24 holes.
You mentioned a complex cut out. This is a fairly painless way to do it. The edges are completely finished, unless you need bright shiny. If it were me, I'd bandsaw and finish by hand if the total cut line was under a metre. If I knew the shape I could make better suggestions. Are there intricate inside curves, for instance, or are there many holes?
Since precision isn't important, how about cutting it out on a bandsaw, then finishing it by hand or by belt sander?
Remember that heat cutting, such as plasma and oxy require pickling to remove the blue flash caused by the heat.
I really like Laser Equations, but they are very $$$$. I only use them if I have paying work and the client really wants laser. I usually shift them to waterjet. A little less precise, a lot cheaper than laser, and nice finish.