Bose? Hell, no, as their product represents all marketing and relatively few smiles/dollar. Decent active monitors will dance mad circles around Bose. A cheapo receiver with a pair of entry level pioneer or infinity speakers would also.
I would try the 1/8" output and see how it goes first. It may be ok for your needs, but keep in mind that good quality monitors like the suggested JBLs will reveal upstream issues if they exist, much moreso than your present Logitechs. The issues would be not enough output or relatively poor s/n.
Using a computer as a source, you may want to consider a more hi-fi/pro-audio style sound card, if not now perhaps as a future upgrade. Doing so would be beneficial regardless if you're feeding active monitors or a receiver. Of course, those cost about the same as a decent entry level receiver.
