Help with an integrated amp for Joseph Audio Rm25xl's

You are only teasing yourself with the tube DAC.You simply haven't experienced what tubes really bring to music playback until you go tube amplification!!!
Your speakers have an easy 8 ohm impedance,with a min.of 7 ohms & a min.recommended power input of only 11wpc.so you can get into a SERIOUSLY good amp in your budget range.I would look at the Ming Da MC368-B902"Piccolo",the iFi Audio "Retro Stereo 50"(my personal amp) or Yaqin "MS-30L"(IMO the worlds BEST remote control)with NOS 6AK5 tubes in the front, some ReIssue EL34's in back & running in Triode Mode...If you have a BIG room go with a Class A Push Pull(like the MS-30L)or one of the new Triode Strapped KT120 amps.ANY of these amps will put you into a completely different realm of music playback...

pc123B,22wpc will be more than enough power in your size room with your listening preferences.My room is about the same size as yours & I have run my Excite X14's with 10wpc.to undistorted,wall shaking levels..Also a small bit of acoustic treatment will allow the system to really open up.You will gain tangible depth & width in the sound stage & images will sharpen up as the signal is less distorted in time & phase from early/floor reflections.