You may want to try an acrylic flow enhancer if you are having paint that appears to dry to quickly.
As for compressors, my son uses this one it is very quiet and well within your budget. You will probably need an adaptor to connect it to your air brush hose.
https://www.amazon.com/California-Air-Tools-CAT-1P1060S-Compressor/dp/B01LYHYHEA/ref=sr_1_24?dchild=1&hvadid=78065379331216&hvbmt=bb&hvdev=c&hvqmt=b&keywords=3000%2Bpsi%2Bair%2Bcompressor&qid=1619549832&sr=8-24&th=1