Hi there! I imagine you will most likely do your test on an SV.... not a bad bike to be fair! I'd personally take a look at the 500-700cc market, as new most of them come in at £4-6k but used you are looking at your kind of budget. You'd have to sit on a few and see what feels best, but as an example good A licence rides for the journey you are thinking would be: Yamaha MT 07/ FZ 07, Honda CBR (if you get on with the ride position) or CB, Suzuki SV650 or Gladius, Kawaski have a few great 600 mark bikes (but depends on riding position you like). But you dont have to jump straight up to 600cc, KTM for example do great bikes that are lots of fun with plenty enough power at the 390 mark. If you can stretch your fund a little further, a Triumph Street Triple, they are gold dust second hand but they do come up occasionally (but be quick!). Sorry if this a bit of verbal diarrhoea, its hard to tell people what to buy, it's a lot easier to get your bum on as many bikes in shops as possible. You'll know if it's for you. I chose mine without even test riding it, I love her!