Hi David,

what's your budget, max size of the speakers and listening distance?

2-way and 3-way depends on implementation. A well designed 2-way with quality drivers and enclosures is preferable over a 3-way with cheap components. 2-way + sub is also something to consider.

Depending on budget I'd look at the usual suspects: HEDD, Neumann, Geithain, Genelec, Adam, PMC, ATC, Focal, JBL etc. Personally for classical I really like Neumann 310s. Not cheap though. Personally I tend do not like DSP monitors but they do have advantages.

Last not least: you'll have to listen in your room with your music. Monitor choice is highly personal and you'll have to figure out if you for example like ribbon vs dome tweeters, closed vs ported, DSP vs non-DSP etc.

If you are willing to spend in the high four-figures you should look at room acoustics first. Even in a nearfield setup.

The room fundamentally shapes the perceived sound and it makes little sense to spend that much without making sure you have low reverberation times across a wide frequency spectrum. Some room treatment beyond the mattress is worth the money.

Other than that the proof is in eating the pudding. You'll have to go out and listen and then bring the speakers you like to hear them in your space. No way around it. I have an Amphion setup here and love it but it needs an external amp and is quite costly from that standpoint.

I live in a rented apartment that's governed by my university, so treatments are out of the question, as most acoustic treatment means drilling holes in the wall, or doing something otherwise damaging to it. The mattress has been helpful so far to clean up the reflected sound, as well as controlling the bass output by the Rokit5's. I feel if I upgrade to a set of monitors with at least a 6.5-inch woofer, that would still be within the confines of my room?

6.5 + 1 is practically the standard speaker baseline. Many mixes done on such and many consumer systems used to be in the ballpark. 6.5 provides decent bass depending on implementation to about 45hz if not driven too loud. If that is full range or not is up to debate.

However there are many variables to consider and I urge you to seek out opportunities to listen to different speaker designs. For example I don't gel with Genelec, even though I find their design aesthetically pleasing. I wanted to like them but they just don't sound right to my ears. Your ears may be different in this regard.

Bloomington should have a few stores offering a selection of current makes. Give them a try.