Lodging Suggestions in Salisbury?

Look at Booking.com. Using a random November date, there are numerous places within your budget - you can rwad genuine reviews.
I've had lunch at the White Hart, and it seemed very smart.

I stopped at the White Hart Hotel on St John Street s couple of years ago. It is just a few minutes walk from teh toewn centre and cathedral. This used to be an old coaching inn and had great character with sloping floors and creaking floorbaords. It had a very old fashioned fell to it and was getting a bit shabby in places. Fooid was good and staff pleasant. I think it might come into your price range. Be warned though, it doesn't have a lift and there are no ground floor rooms.

Yes Steve and Wenda who owned Cathedral View B&B retired during or just after Covid.

I, too, have stayed at the White Hart although it's been about (yikes!!) 10 years. It's a Mercure hotel. I've also stayed at the Rose and Crown (on a Rick Steves tour) but that might be over your budget. It's very walkable to the cathedral even though it's on the other side of the river. I would not stay there when it's hot but it would be fine in the fall.

For myself, next time I go to Salisbury I'm going to try to stay at the Best Western Red Lion which is a 13C hotel. I also did not look at prices to see if it fits your budget.

"Originally the “White Bear Inn”, the building was constructed to house the draughtsman working on the new Cathedral. < snip > When the basic construction was finished in the late 13th century, the White Bear continued to house visitors to the Cathedral and subsequently the ‘New City’ of Salisbury. It is therefore probable that the hotel is possibly the longest running purpose built hotel in the country."

Pam, I stayed at the Red Lion way back in 2015, I think. It’s wonderfully atmospheric and I really like it. I stayed in an annex like building, though, so if you could stay in the main part, it would be even better. No idea on current pricing, though.

I was in Salisbury in May and stayed at the King's Head Inn. Not fancy, but very convenient and it fits your budget. I had no issues with any noise from downstairs. I would stay there again.

All Wetherspoons hotels are 100% soundproofed from the pubs below. They do that very well. I was actually at one last night in North Wales. As soon as you go from pub to hotel it's a different world.

You won't hear a thing, and very comfortable beds. Some hotels are air conditioned (not that you are likely to need that in the fall), those that aren't have floor mounted fans - like last night, and opening windows.

It's very useful having free bottomless tea and coffee in the bar, and unlike many places nowadays you get biscuits, hot chocolate and bottled water on your hospitality tray.

It's always interesting at a Spoons looking at the history boards round the pub, some places have an extraordinary depth of history..

The hotel entrance is always separate from the pub entrance and access is all card controlled. Last night I had to swipe through 2 doors to reach my room, the last one I stayed at was 3 doors to swipe through.

The rooms are very nice, several steps above a Premier Inn.