What’s the best multipurpose $50-$75 spinning rod? Looking for a 6’6”-7’ medium spinning (I don’t use baitcasters) Looking to

throw 1/4oz topwaters, weightless plastics, small crankbait, small spinners etc. this rod will be brought to a lake house so not looking for anything too expensive and would be used 1-2 weekends a month

Daiwa Aird-X - performs well above it's price point of $55

So many rods out there. BPS has a Pro Qualifiers Series that doesn’t break the bank. Decent all around rods. Abu has the Vendetta or Veritas Rods on sale all the time. Check out some Fenwick HMX and HMG, they are on sale from time to time. 
I’m not gonna recommend anything specific because it has to comfortable to you. 
I would not say the rods I mentioned are low end they are not high end. But have some sensitivity and quality. 

I am extremely satisfied with my Bass Pro Pro Qualifier 2 spinning reel. The matching rod is okay in every way except it lakes a foregrip (I'll add some grip wrap there).

 

I'd go BPS Pro Qual reel and a BPS rod.

In that price range, I like the Shimano Sellus.

Aird X

 

And the Aird X

34 minutes ago, PaulVE64 said:

Aird X

 

And the Aird X

 

1 hour ago, MN Fisher said:

Daiwa Aird-X - performs well above it's price point of $55

Good price but I can’t stand not having a foregrip. I should have mentioned that

If I were you, I would just take a trip to a local academy, basspro whatever it may be and test out the rods in your price point.

If I had to name a rod, possibly a berkley lighting.

Lews Hank Parker 610M for the lower end of your price range.

Wait for a sale on one of these.

Daiwa Tatula XT Spinning Rods | Tackle Warehouse