Know you mentioned "integrated amp"... But why?
How about a radically different recommendation?
Consider:
1) Used Mackie HR824 powered studio monitors (ebay). Pro-audio gear used in MANY professional studios. The CD you are listening to was probably mixed on these, so you would be hearing it just as the artist intended. Also makes a great audiophile home speaker. These speakers have the amplifiers built into them (actually they are bi-amp'ed). They allow RCA (unbalanced) or XLR (balanced) connections. Excellent highs, mids, and bass... no sub required. Easy to tune to your room via switches on the back panel. Do a google search on 'Mackie HR824 review'.
2) Used Cal Audio CL-15 CDP. This excellent CD player has a preamp built into it. Comes in RCA or XLR versions. Excellent internal DAC as a 'digital-in', allowing you to attach another digital device.
This very simple system could fit your budget (used) and would be VERY difficult to beat for the money.
Check it out!