Before commenting, I read the 2011 stereophile review of your Linns. The then $2995 MSRP is likely $10,000+ today. Knowing Linns long history of great sound, I would rebuild around them.
Technics has just come out with a MkII version of their SU- G700 integrated, based on SU-G 1000, which is GaN technology (although I see no mention of it in the review). I have a LSA Voyager 350 GaN amp that sets a new standard in my system, which has had many tube, class A/.Bs, class A as well as class Ds.
Within the review this paragraph reminded me of a personal experience with Genesis V speakers that I tried a number of amps on, but did not come alive until I got a Kinergetics KBA 75 class A amp:
Indeed, this is the key to the SU-G700 mk2, I think. As always in my reviews, I used a variety of loudspeakers but inevitably ended up with my classic Yamaha NS-1000Ms; they have a highish quoted sensitivity but ask a lot of any power amplifier, and have been known to reduce some to wobbling jellies. This new Technics amp simply had no fear; it drove these speakers with great authority, thumping out vast tracts of bass, and carrying bass transients with absolute ease. So, for example, loud hits of the bass drum kicked like a mule out of the dense mix during the latter parts of the song.
OR, after reading the review, you might be inclined to spring for the Technics SU-G1000. Then later on pair either with the Technics SL-G700 CD/SACD/Streamer
hth