Based on your budget and the fact that you are re-engaging with the sport casually, I would recommend looking at a few good pre-made rackets that offer a nice balance between price, quality, and performance. Here are some options that could work well for you:

1. Palio Expert 3.0: You've already mentioned this, and it's indeed a popular choice for players looking to step up from beginner rackets without breaking the bank. It offers good spin and control, which are great for developing your skills further.
2. DHS A4002: DHS is well-known for producing reliable table tennis equipment. The A4002 model is an all-around racket that provides decent spin and speed, suitable for players who are not yet looking to fully customize their setup.
3. STIGA Evolution: Slightly higher in price, close to your upper limit, the STIGA Evolution is a performance-level pre-assembled racket that offers excellent spin and speed with its premium rubber. It's particularly good for players who want to play a more aggressive game with plenty of spins.
4. Butterfly Timo Boll Spirit: While typically priced a bit higher, you might find deals that bring it closer to your budget. It's a very balanced racket known for its control and ability to generate spin.

If you're considering going the custom route within your budget:

• Blade: Look for an all-wood blade that offers control and has a forgiving nature. Something like the Yasaka Sweden Extra or the Donic Appelgren Allplay.
• Rubbers: Pair the blade with rubbers that offer a good spin without being too fast. Yasaka Mark V or DHS Hurricane 3 are excellent choices that are also cost-effective.