I'll second trying out a semi-hollow. I started playing on cheap Ibanez acoustic/electric, then got classical nylon to try learning classical style, but soon wanted to focus more on rock, so I got solid body electric Epiphone G400 (used and cheap), then thought maybe a semiacoustic would be nice to try, so I got Epiphone Dot Studio (used and cheap -- I was also looking at Ibanez Artcore models, but the Dot Studio was cheaper). After a couple years, getting past the "beginner" phase, I rewarded myself with PRS McCarty (solidbody). I could play the PRS all day long, it sound so good. It is basically a replacement for the G400 which, as a cheap guitar, has had just a lot of problems with build quality from tuners to pick ups to input jack and fret buzz up the wazzoo, so I did not play much rock, and the PRS totally fixes all that and makes it a joy.
That said, My Dot Studio was also nice to play, did not have the quality issues of the G400, and I still like to pick it up time to time. The real beauty of it, to my ear, is how the semi-hollow adds some element of breadth or twang or resonance or something (probably not using best words to describe) that is really sweet for jazzy tones or bluesy tones. I think semihollows are traditionally the common choice for a lot of jazz players, and I can see why. I have not even tried to get those tones from my PRS, which is more my rock n roll workhorse, though I guess with the right fx / amp set up, it would not surprise me if I could get similar tones in single coil mode. But I figure "right tool for the right job" and I'm not sure a PRS hardbody is really the best tool for jazz.
Now, if I could get a PRS semi-hollow to replace my Dot Studio, now that I have considered. If I get more into playing jazz or acoustic-ish blues where I want some jazzy-bright tones (rather than, say, SRV rockin' blues), I could see my next guitar purchase being a higher end semi-hollow.
So, to sum, if you've got the money for a higher end guitar than the Epiphone Dot Studio -- which you clearly do (I got mine for $150 used), I would recommend looking at PRS semi-hollow or even another brand of higher end semi-hollow. One great thing about a semi-hollow, at least in my experience with Dot Studio, is that it can also really rock out, play grunge, distortion. If I could only have two guitars, I'd probably pick my classical acoustic and my PRS solidbody electric. However, if I could only have one guitar period, I think I'd have to go for a semi-hollow that can sound nice (albeit soft) unplugged, can cover acoustic, jazz, blues, rock, and pretty much everything else. I think some semi-hollows are more hollow than others, and if they get TOO hollow, then I think they may not sound as good for true hard rock tones, but the Dot Studio is actually pretty small / thin, not a lot of hollowed out space in the body, which I think helps it sound like a solid body LP or something when I rock out. As much as I am raving bout the versatility of my Epiphone Dot Studio, I would not buy another (unless I had a very low budget) because of overall build quality not being ideal, but I think the concept is superb, and I bet the PRS semi-hollow nails it and addresses that concern, so that might very well be me "desert island" pick if I only get one guitar. But, full disclosure, I have not had the pleasure to play one yet.
Ken