Just ... Just get Disciples 2 and be done with it.
Oh, you own all of that. Well I should start pulling some obscure stuff, shouldn't I?
All right then, how about
Original War? "But that's an RTS!" Well yeah, just bear with me. And trust me, the game is quite simply brilliant. So I'll just go ahead and run down your points:
* Preferably RPG or turn-based strategy - I need to be able to leave the game in an instant, have it still be running and come back to the game exactly as I left it. You will need to go trough the trouble of pressing pause button when leaving it. That's just about it, really. The game's quite slow-paced, so you don't have to grant your full attention to it and you can even do other stuff while playing it (it even has a speed slider at the bottom of its main UI, so you can even slow it down and run off until production gets finished - of course, when you're looking for an intense experience, just pull the slider all the way to the right and ... Well, it's still going to be fairly slow-paced, just a lot faster during the process)
I might also add that the game is very RPG-ish, in more ways than one.
* An engaging but not overwhelming story - I want to be drawn in by the story and/or game world but not read a novel. As this will be a part-time game, I don't want to miss out on the nuances of the story as we spend far more time at my house than hers. The storyline in Original War is precisely that. It's not very complex, but it's very interesting and engaging - the game has means of getting you invested into individual characters and it will actually ask you to make a couple of decisions throughout the campaign, influencing story in both minor and major ways further down the line.
* Must play well given the limitations of the computer and screen size. It'll play well, I can assure you of that, I mean it ran well on over 7 years old netbook. Screen size might be a problem tho (it probably won't, but it might, depending on the resolution.) Good news is that you can change your resolution to whatever with just a little bit of
tweaking. You probably won't have to.
* Must have a decent interface. Ease of starting the game is a must. Owar has a very self-explainatory UI which also provides you with a lot of options - just take a look at the screenshots. Thanks to its ... special properties, it can actually display pretty much everything you can do, even all units you can select at any give time in a very coherent fashion.
* Must be able to be finished within a reasonable time frame, playing part-time. I have a very flexible timetable so this is difficult to quantify, but something that is 100+ hours is not what I am looking for with this game. I'm hoping for something I can finish by next payday(13 days away) in order for the "owe you one" criteria stated below :) Let's just say that the game really isn't all that long. It all depends on how fast you tend to play of course, but I'd say about 30 hours if what you're planning is just playing trough the campaigns. I might be horribly off tho.
* To GoG or not to GoG? It doesn't have to be a GoG game but cannot require internet connection to play. I can download something and transfer it over to her computer. Given my collection of GoG RPGs and strategy games, I probably have most of the suggestions that will come up in this thread. I'm not really sure whether you can get it anywhere but on GOG :-P
* Sell it to me and I'll "owe you one" :) I'm after a review(linked or personally written) to aid my decision. The person who chooses the game I play will be rewarded upon completion(be that the end of the game or when I get stuck/have had enough of playing it). I'll let you know in this thread which game(s) I try and will write updates on how it is going. Right, to finish this off, I'll just
link you what I have written earlier.