Any 100w/4ohm capable amp and you're good to go. Doesn't matter whether it's single-ended or balanced. Near-field the only thing I'd worry about is an amp with a high noise floor.

Speakers are naturally balanced. They each have return/ground/negative for each channel so, technically they're balanced.

Rca/phono jacks can be made balanced if wanted but, not really needed for general applications. But, yea..

3ohm load is not too bad. Most well design amps with healthy power supplies can handle that. If driving a nominal 2ohm load with a consistent dip lower then, that's a different story.

Most pro amps have balanced/unbalanced inputs. While some argue say pro amps don't sound as nice, that can be endlessly debatable among folks but, in my limited experience with few they can perform just as well at home in hi-fi setting as any other well respectable consumer hi-fi amp. Pro gear is same as consumer stuff where there is some good and some crap as with anything else with the world.

Only downside to most people with pro amps though are fans and looks. They're not design to Wow the typical monkey brain with pretty shiny knobs, glossy/glowing metal, cool pretty lights and fancy giant vu meters. They also use fans too instead of over use of unnecessary heavy large heatsinks to try to keep them passive(that's where most of the weight with home amps come from)and, of course to be pushed harder past their limits but, amps nowadays with fans not really an  issue cause they're most likely thermal controlled and when they kick on its no louder then typical computer/laptop fan.

It just depends though overall. I don't know much consumer amps with balanced connectors in your price range but, lot of pro amps have them since its a standard in pro world. I do love regular/consumer stuff and owned a lot(receivers,integrated, vintage,new,ht,ect).

Only suggestion though unless you like weird warm sound is stay away from McIntosh. They been used in pro/consumer combo like byston but, I don't like MC's. Lot people do which Is great but, I personally wouldn't use them for "reproduction" purposes.

Just look around and be patient. Test if can to see what you like but, overall enjoy. Also balanced amp not completely necessary but, just made suggestions above. Up to you to decide. I'm just serious bout staying away from macs in my opinion. Don't care how many tell you that the grateful dead used them  that they must be awesome lol.

I have my LS50s plugged into my Ragnarok. Every single day they make me grin (though maybe that's the Yggy). The Rag has no problem filling out their sound. It's a little annoying as an speaker amp without a remote, but on sound quality and power it's a winner.

I'd just be a cheapass and get the emotiva thing https://emotiva.com/products/amplifiers/fusion-flex

Doh. I completely missed that.

It's cool. I tend to overlook things a lot myself as well.