This is a pretty good article about all things 'pod ...
https://photographylife.com/how-to-choose-and-buy-a-tripod-for-a-dslr-camera
From personal experience manfrotto 550 and 190 series 'pods are good and reasonably priced. Feisol 'pods are excellent but well outside your budget and gitzo 'pods are also excellent but extremely expensive.
The manfrotto 'pods may just be had 2nd hand in your budget but weather you would get a head with that would be debatable.
In my opinion if a tripod isn't stable it isn't worth having and, sadly, most "inexpensive" tripods are not overly stable.