Oh dear, now I think I've intrigued you. Well, no harm done I hope. The Klyne is solid-state, to start with. Which of course means nothing, it's not the technology but the implementation that counts. It is discontinued, like the SF, but went that way much longer ago, back in the eighties. It has a MM/MC phono stage and a very good one. I think you would find it had higher resolution than the SF, to judge from the other SF gear I know, but I have not made the comparison.
And just to repeat, I don't know all your gear and I am sure you are right to be looking at your amplification at this time. I understood your post to mean, "What else would you guys upgrade, apart from what I'm already thinking?" and I hope I haven't driven you too far afield. Funny thing though, Kal Rubinson compared the SF2 with a Klyne 6.3 back when he reviewed the SF2 for Stereophile.