You might want to look into the spares cost and availability, My brother and I ran a race prepped 2000 R6 for a couple of years as a track toy - superb bike, ohlins suspension, full akrapovic system and tweaked engine, rearsets etc, great fun and it crashed reasonably well (which we did 3 times, once spectacularly).
A track bike gets a proper thrashing if you do it regularly. My brother and I did 2 a month for a couple of years, we changed tyres and oil every 4 trackdays and gave it a refresh at MSS racing after the first year - still something fell off it every outing (including me twice!)
Fortunately spares like brake levers, footpegs were pretty cheap - got through a few crash bungs though (and a couple of fairings
)
Sold it last year to a racer in the NE for £1400, would have kept it but the new flat had nowhere safe to park it or the trailer. Kind of miss thrashing it.
In terms of speed, corner speed and exit are where you make your time on trackdays, I would regularly lap people on much faster tackle and would get lapped by 2 stroke 250s ridden by people who knew how to ride. A torquey twin will be great fun out of slow corners - smaller bikes will bog down if you don't keep them in the power band.
Good luck seaching and keep us posted.
Ade