Ok, so I downloaded the trial versions of both Edraw Max and SmartDraw. Both of these programs are basically centered around connecting vector graphic symbols together with "snappable" lines (that is, lines that stay connected even if you move the symbols they are joined to around). Both programs will allow you to import a raster graphic (for example, an image of an IO connector extracted from its datasheet) but won't let you connect "wires" to points inside the raster graphic; that is to say, lines stop at the outside of the image. This is not an issue with a more straightforward drawing program like Open Office Draw (a pink star to LiteYear for suggesting CorelDraw, as that prompted me to look at Open Office Draw, a part of Open Office I had heretofore never opened).
SmartDraw is fairly easy to use right out of the box and has an extensive selection of schematic symbols, though there is some indiscriminate mixing of types in its various libraries. For example, one of the default electric libraries loaded for drawing the aforementioned "auto wiring diagram" mixes up symbols for ladder logic, both both architectural and utility/industrial electrical, and electronics. One downside is that it is not immediately obvious how to create a new symbol; I'm sure there is a way to do this, it's just not "immediately obvious", is all I am saying. Finally, the free trial period is only 7 days, which is not really enough time for me to evaluate it compared to the other options, and the "not on sale" cost is $400.
Edraw Max includes a less comprehensive set of electrical/electronic symbols, but appears equally intuitive to use and is half the cost (actually - it will be 1/4th the cost after Sep. 6). It is also more obvious/intuitive how to create your own "connectable" symbols, so that's a definite plus. The free trial is the more usual 30 days and the price is low enough - $100 - that I feel its worth taking a flyer on if I get too frustrated with trying to draw things by hand in Open Office Draw.
Open Office Draw does not include any symbols, but it will happily allow you to import a screen-captured image of a connector from its datasheet and then manually draw lines all the way to the pins inside the image. Unfortunately, if you want to draw a resistor or a switch you have to do that manually as well, and while there is an ability to make "snappable" connections, or wires, it seems more of an afterthought rather than the central premise of the program, as with the above two. While it does come free with Open Office, if I have to spend an extra couple of hours drawing basic symbols that are included in Edraw Max, then the latter would be the smarter choice overall.
Thus, in truly irrational fashion, I am going to waste even more time by trying to do the same job with both programs and see which one I like best.
P.S. - I took a look at EPlan P8 and it looks nice, but perhaps a bit complicated for what I need to draw and given I only need to do such drawings once a year on average, probably not cost effective, either. Interesting suggestion, though.