WHISPER, THERE ARE MANY GOOD SOTs
listed by prior posters, and most -probably all -could be bought new for under, in some cases well under, $1,000.
You cite a narrow beam, maneuverability, and cost as your 3 criteria, with an aside that primary isn’t all that big a deal for your daughter. FWIW, most non-ski SOTs will have far more than an abundance of primary…
The T-160 will be too large for her, as noted. So will the Hurricane Phoenix 160, and probably 140, both near identical copies of the WS Tarpons of the same length. These, however, are made of a plastic, Trylon, that looks like glass (fiberglass) but is tough and light, and may -in the 140 -be light enough for your girl to maneuver OK. The Phoenix 120 might even better fit the bill, at 12’ long X 28" beam, and even better, at around 40 pounds. I can vouch for Trylon; my wife has their Tracer and we paddle the Keys with corals and her boat holds up very well indeed.
The Current Designs Kestral was noted, but from what I see, the SOT version come only in a composite, and costs around $1600 new. You might be able to score one used for perhaps half, but I’m not sure.
But also noted -by Brazilbrasil, who knows his boats, and kids -are the OK Scuppers, their direct descendant, the RTM Tempo, and it’s sibling, the Disco. These are not generally narrow boats at around 26" beam, but are really on the lower side of the range of SOT beams. These are all tried & true designs, and whether needed or not, are seaworthy, especially the Scupper Pro and Tempo. We have had a Scupper Classic and Scupper Pro, both for about 8 years, both bought used for around $450, and I’ve had my S-Pro out in some pretty messy conditions and it’s done just fine. They take a beating -we paddled them for years before getting SINKs, and I still use mine for yakangling -and hold up well. We use them as our boats for the beginning paddlers we know, and it seems to work out famously well with them, and they come in all sizes.
And as Brazilbrasil (wrongly) notes, his daughter has placed dibs on theirs. Wrongly noted, because , actually, it’s his wife’s boat, not his -or was…
Finally, as another poster noted, some of the smaller, entry-level skis might be a choice for you to consider as well, as some of them are in the 24" beam range (that’s really wide for skis) and might be able to be handled by your fearless, water-loving daughter once she gets the hang of it. These, too, can be found used, tho’ a little less frequently, and often at surprisingly good prices.
Hope this helps, and I hope you get one so your daughter can get out there soon this summer and
-Frank n Miami