I don't think you need to look for something that absolutely doesn't have a phono or DAC. Sound quality should be your main concern. Here are a few integrated amps that come to mind around the 1k price point new with wattage and some comments (in no p-articular order):
-Arcam A19 (50wpc, recently discontinued, smooth sound, has phono) -Rega Brio - (50 wpc, new model recently, has phono, well reviewed) -Musical Fidelity M2si (new, haven't seen a review, around 75 wpc) -Yamaha A-S801 (100 wpc, good clear sound, phono and DAC) -NAD C368 (80 wpc, Class D, DAC and Phono -Creek Evo 50A (55 wpc - no DAC/Phono, good reviews)
Those are the ones that pop into my mind right now.
Primaluna. Classic versions, Prologue, Dialogue, roll tubes to fine tune sound. Plus tubes sound great with digital (and of course any other sources). New or used. Simplicity, what is needed - nothing more.
I think Rotel is a great band for the buck company but people say they can be pretty bright with the wrong speakers. I never thought so.
I the used market I can vouch for Primare, Creek (especially the CLASSIC 5350SE),and Belles Aria. I also loved a Prima Luna tube integated I heard in a showroom; but I didn't investigate the speakers it was driving as I was not there to shop that day.
I chose a used Primare I32 class D integrated myself. Very neutral, but frisky. There's one on ebay a bit over your budget, though. You could always make an offer.