receiver or preamp

I ran a receiver (as a pre-amp) and separate amp many years ago when I was just starting out. It worked pretty good but when I finally bought a separate pre-amp it was a big step up. You have a nice little amp and a good pre-amp would make it shine. On the other hand, you'll have to add a tuner to the stack but there are cheap ones that sound good. 

@kittenbits  - Good luck. I hope you find something that suits you. I would be leery of any of the new HT receivers as a front end for your analog-only (FM radio and phono) system as they have a whole bunch of circuitry that contributes nothing to your needs (and likely detracts, even if the button says "direct"). I have yet to hear an HT receiver that had a good FM tuner or sounded worth a darn for 2-channel listening. 

I still recommend a pre-amp/tuner combo, for simplicity, if you can find one. It doesn't have any circuitry you don't need. Nice and simple, analog only, and nothing you don't need or want. 

A separate pre-amp and tuner would be my next choice.

If you are going to try a receiver, buy a 2-channel stereo receiver (with pre-outs) and not an HT receiver. Too much un-necessary circuitry to either go bad and take out the whole receiver, or detract from your analog-only needs. If you insist on a relatively modern HT receiver, don't pay more than $50 - $100. Your not going to use any of the stuff that makes them expensive.

I'd go with some sort of streaming solution instead. Almost all radio stations in the world are online these days.

Have you considered the Parasound Z Pre? Inexpensive and really good.  Same for the ZDac, but I think the latter is no longer made.

Then all you need is a tuner.

Well, if looking for a receiver Yamaha makes a couple. Both in your budget I believe. Have internal phonostage and DAC as well.