Any particular reason you need pitch control?
Crosley C100 $169 is a basic model that is ok to start with if that is your budget.
AT-LPW30TK $249 $175 is a better turntable for $6 more.
Crosley C200 $229 adds direct drive over the C100.
AT-LP120X $279 is a better direct drive turntable for $50 more.
Pioneer-Pro-DJ-Black-PLX-500 $369 if you want a beginner DJ turntable.
Pioneer is the best workhorse for the duty you are talking about.
https://www.amazon.com/Pioneer-Pro-DJ-Black-PLX-500-K/dp/B01K1WUS9O
and another version touching your price limit from another side