Congratulations, and welcome to the club of RS-II owners/lovers! Beautiful job of renovation on those. :thmbsp:
Mine were stained black when I got them (appeared as a factory stain -?!?), and the black finish was way too deep and permanent to be removable. While I have re-stained and polished up the black to look good again, I wish I had the original oak finish, when I see how good ones like yours look!
A couple comments:
1. Your story of the snare resonance is amusing and familiar: I had many such "discovery" experiences when I started listening to recordings that I previously thought I knew. Air moving over teeth, the material a drumstick or guitar pick is made of, the scrape of a performer's shoe on a stage ... lots of intimate details are revealed with these speakers that are absent with most speakers.
With this said, you've also discovered the "weak point" of these already: they are so accurate and revealing that any weakness in your gear or source recordings is likely to become annoyingly evident. I like mine above all my other speakers, but I would never live with JUST these, because there are many recordings I want to enjoy, which I can't when I hear everything on them! So I keep more "forgiving" speakers, too, to enjoy that music on, and only hear the best-quality ones when I haul out the RS IIs.
If you are experiencing fatigue, it is because of your gear, not the speakers. When set up with the right gear and good sources, these speakers are sheer delight, not fatiguing, and way ahead of most of the oft-praised speakers you read about around here. But at least half of your CDs and a few of the worst vinyl recordings will be virtually unlistenable, because of all the weaknesses and warts you'll hear.
2. Make sure whatever amp you upgrade to, make sure it is a high-current-capable amp that can handle low-impedance loads that dip into the 1-2 ohm region. Running these speakers with anything less is inviting both amp damage and fried EMIT tweeters, or both and worse.
3. GET THOSE REAR-FIRING EMITS ON THERE! You think these speakers sound great now?

D) Once you add that rear-firing EMIT, you'll add so much air and space and depth to the sound stage, it will surprise you.

:yes: :thmbsp: Right now, you are only hearing PART of the sound these speakers were meant to produce!
4. It is a somewhat confusing pain to re-work the crossovers on these in order to bi-amp them, because of he complexity of the crossover system used. However, if you separate the mids+tweets on the open baffle from the woofers below, and bi-amp them, you can improve the sound AND achieve an increased level of safety regarding amplification. I'd recommend relatively strong tube amps on top, and solid (high-current) SS amps on the bottom.
All the vintage Infinity amps in the IRS and RS series were originally/primarily voiced with tube amps. I've read that Arnie Nudell liked to use Audio Research SP11 preamps, but of course there are other choices that sound good, too. Such a tube pre-amp plus a powerful high-current-capable solid state power amp makes an excellent combination, too, without having to mess around with the crossovers. Probably the best way to go, at least for now.
Again, congratulations on an excellent job of sprucing up an excellent pair of speakers! :thmbsp:
...and add those rear-facing EMITs! 