Choices are vast
But to get one rod to do it all, a soft braid rod in the 12-20 class would get response from small fish and able to cope with the odd large fish.
I have a few Finn Nor fixed spools and they are great. the bigger ones have huge drag settings.
The main problem would be the braid. I generally use 30lb, but small breaming reels are filled with lighter and deeper water reels are 50lb.
Easy to change spools on a fixed spool, but the extra spool and two lots of braid alone, would use most of your budget