The original post used the word "acceptable" - a loaded word if ever there was one. I don't think Subfixer intended to imply that leaving the plastic unpainted would result in the perpetrator being placed under arrest, or anything of that nature. When modelers start getting serious about their hobby, though, they usually conclude pretty quickly that unpainted plastic looks like unpainted plastic. It has a shiny, waxy, ever-so-slightly transluscent quality that just doesn't match what painted steel, or unpainted wood, looks like.
The lack of an airbrush shouldn't discourage anybody. Modern hobby paints are excellent; in this sort of work they're perfectly capable of giving fine results when applied with a brush. As a matter of fact, lots of people who've been at it for a while (including me - after about 52 years of model building) prefer brush painting, especially for certain subjects. I've known lots of ship modelers who, even if they use airbrushes for larger-scale subjects, prefer to brush paint 1/700 models. There are, by definition, almost no big, wide, smooth surfaces on a 1/700 warship model; airbrushing a 1/700 battlecruiser would turn into a lengthy exercise in applying tiny pieces of masking tape.
If you haven't already done so, you might look into the various lines of acrylic hobby paints. My favorite is PolyScale, but Testor's Acryl is also a good brand. An important key to getting a good brushed-on finish is to use good brushes. If you've got an art supply store within driving distance, check out what it has to offer in the way of modern synthetic-hair brushes - either white or gold. Lots of modelers swear by the legendary red sable brushes, and they are indeed wonderful things. But I personally find that, in at least 90 percent of modeling applications, the synthetic brushes work just as well - and cost far less. They're often sold in sets, with sizes ranging from sharp-pointed 5/0 detailers to 1/4" wide flats. The latter, with a little practice and good, well-stirred paint of the proper consistency, will give results that are perfectly acceptable (there's that word again) on a 1/700 warship.
Good luck.
Youth, talent, hard work, and enthusiasm are no match for old age and treachery.