I’d like to thank everyone for their answers. (And thank you very much to Jasmine for the offer of a disk–I may take you up on that.)
Before going down the hardware road, though, let me throw this out there for and additional consideration.
I don’t think it’s the fan(s) because, after all the years I’ve been using it, I know what it sounds like when it powers up and the fans definitely come on at high speed on power up and then throttle back but keep running. Based on the suggestions above, I further verified this by booting with the covers off to see it happen. I’m going to take a look at monitoring the speeds between a day where it was booted from Sleep vs. after being down a week or so to see if there’s a difference.
I have a recent HDD image (I do that as part of my standard backup rotation) so I’m ready if that turns out to be the actual problem. But, the HDD was replaced (I used Acronis to clone the new one) within the last year. Both the new and replaced disks are WD Blue Label–not the priciest, but they’ve been working for me for many a year in various machines.
I also invested in a handheld temperature gun (any excuse to buy new/extra electronics that I can play with) and will start watching the heat sinks. But, I don’t know what the normal temps are for my machine so that may be more if a toy than a tool.
Interestingly enough (meaning I don’t know if this is germane) when I went to try to boot to the system repair disk, I was unable to get the change to BIOS to stick. I changed the initial boot from HDD to DVD. When I did “exit and save” it still wouldn’t boot to the DVD. When I looked in BIOS, the order had changed back to (1) HDD, (2) DVD --but the HDD tries to start Windows then hangs as described in the OP.
Going to check all the caps or outright replace the PS as suggested, but that may take me a few days. I miss having a Fry’s Electronics nearby… (But if it’s a cap, shouldn’t I be having the problem on startup from Sleep?)
Once again, thanks to all for taking the time to respond. While I futz around with hardware, please let me know if there are any software (Windows-specific) things I should check or do since I can do that while I’m waiting.
Oh yes, as to leaving it on all the time, that is what I usually do. My problem comes if there is a power outage while I’m away. Then the PC goes to the UPS and, when that drains, it’s total power off for the duration. (And we won’t talk about the time that someone-who-will-remain-nameless thought they could repurpose that particular outlet while I was away.)
Separation anxiety may have a lot to do with it. I work it like a dog. When it’s working.
Also, I will look into Belarc. I’m not familiar with that.