There are many good suggestions here. The OP mentioned a budget and possible interest in a NAD amp. Many posters have suggested possible reliability issues with NAD stuff. Maybe some have had them but mine has performed flawlessly for 3 years. The NAD model numbers have changed recently. Don't know if the performance has changed but as I look at their current integrated amps the current model specs line up to previous model numbers when it comes to power and features.When researching NAD amps I went to a dealer that had all models on display.I went with the C375BEE which is 150W (approx. $1500). But going down the power chain the 356 (80W) didn't sound as good. Then lower was the C326BEE (50W). It sounded so much more musical than the 356. Online reviews and posts from others agreed. Interesting that NAD didn't change that model number designation but did on all the other amps. Perhaps NAD recognized that maybe they had achieved something special like their renowned 3020. NAD amps are high current ones and a 50W amp can drive even difficult speakers. Probably not to stadium levels.
A new 326 sells for around $500. A bit above your budget and it doesn't have a phono stage. You may be able to find a used or refurb closer to your budget and add a phono stage. A new integrated with a built in phono stage for $400 will not sound nearly as good. I only offer my opinions as they pertain to your interest in NAD. I'm sure others will have input of their own.
A new 326 sells for around $500. A bit above your budget and it doesn't have a phono stage. You may be able to find a used or refurb closer to your budget and add a phono stage. A new integrated with a built in phono stage for $400 will not sound nearly as good. I only offer my opinions as they pertain to your interest in NAD. I'm sure others will have input of their own.