there is no need for $100 receiver I have found over the last 1.5~years the following that would get you what you are looking for.
but in case you just do not have the room.. yeah them lepai t-amps are what they are hella cheap and built as such / low /nonexistent qc.
my t-amp is a SMSL SA-S3 it was about $60 shipped from china... but it came with a nice 4A power supply and has been flawless for going on 2years.
used receiver wise I have found
$40 Pioneer VSX-D1S (135watts per channel ...BIG..but awesome and in vg shape)
$20 Kenwood KR-V106R (100watts per channel ...near mint)
$10 Nikko NR-750 (50 watts per channel ... vg shape nice compact 1/2 size)
$40 Sansui 350A (only 22WPC but sounds like more and sounds great)
and some more stuff
most notably i got for $20 (LOL) a great big onkyo stack M5030 (100WPC dual mono amp) / P3030 preamp /T4087 tuner and EQ35 equalizer
oh and I just got this Pioneer SX-3600 paid $60 for it.. may well have overpaid slightly but I don't care it is pretty awesome and sounds great)