The MiniRef 1875 will make it to your price point comfortably (with good professional grade parts, but not boutique parts) for two channels with all parts on the PCB.
The minor catches:
1) The few MiniRef 1875 boards that I have on hand were supplied by PreSapian from Seoul, and I did not have them fabricated locally. This is not a major problem, since I was the one who designed the layout and have the Gerbers in case I need additional boards to be fabricated locally.
2) I'm not sure that the MiniRef 1875 is a project that can be recommended for newbies. It is more complicated than basic gainclones, but the payoff from that is much better audible sonics when implemented with reasonable care and careful parts selection.
3) The audible sonics are best with premium parts in the entire signal path, film/foil caps, fast-soft rectifiers, premium electrolytics (including a few Black Gates), non-magnetic and non-inductive resistors, etc. However, once boutique parts are introduced, it's no longer a low-cost newbie project, but more suited for an serious DIYer/audiophile.
It's probably best for me just to offer bare boards, and let the individual builders self-source components to their liking/budget. It will work fine even with cheap components, but will sound much better with premium components.
Edit: The MiniRef 3886 board is similar, but is more finicky about stability - I'd recommend it only for experienced DIYers. Both have exactly the same mounting dimensions, so it's possible in principle to interchange the two if needed.