Adding an amplifier to a speaker-level audio output
I haven't ever considered using them and don't know much about them, but there seems to be any number of "speaker level to line level output converters" you can google up. At only 2 W output, a few of the cheap ones may work. But I honestly don't know what they look like, inside. And without having tried any, either, I can't recommend anything specific. But it's a direction to consider, I suppose. If both your ham radio and your expected amplifier at AC-mains powered, I would be worried about the possibility of getting a hot line tied to a ground when using one of them. So you probably should do some of your own basic testing before risking either system, if you decide to go this route.

A galvanic connection, using a resistor divider followed by a non-polar capacitor to the RCA inputs of the new amplifier system might work okay if you can be sure you've safely dealt with mains grounding issues of each device (and may not care much about "hum".) The signal will get across pretty well that way and you can adjust things for about a 4:1 step down ratio without much difficulty (the reason for that is that higher of the two consumer line input specifications would shift the peak \$5.7\:\textrm{V}\$ to a peak of about \$1.4\:\textrm{V}\$.)

I can't recommend a galvanic connection since I don't know the details of your proposed situation. The following is safer, though it won't have a uniform band-pass response over a wide range of frequencies. But it probably will do well enough for ham radio:







simulate this circuit &ndash; Schematic created using CircuitLab

If you are interested in line level information, you can check out this Wiki page on the topic. In your case, as I said before I'd probably look for about a 4:1 reduction of the signal.

The above circuit is an approach, but it's not a completed design. Audio transformers for specialized needs are rather expensive and/or require some work with an E-core transformer and some winding work. Jensen makes a really expensive (and I'm sure "nice") 4:1 audio transformer. But these are more than $60 each. And I'm too cheap for that. So that's part of why I'm instead recommending that you try out a cheap 1:1 audio isolation transformer (like from here) and use resistors to do the rest of the work. You can adjust \$R_1\$ and/or \$R_4\$ to get the transfer ratio about where you want it. Those values are just "shoot from the hip" from me, for now. (As I said, I think you want about 4:1.) The load on your radio will be lighter than with the speaker. But if your ham radio's audio amplifier section is transistor-based then I think it will be just fine. (If not, there will be a transformer involved and it may require better matching than I suggested.)

Keep in mind I'm just a hobbyist. I have some of these transformers laying about and I'd probably start with one of those and play. Mainly, I'd want isolation in this application. Just so I wouldn't worry as much.