I have a shark ?navigator?For no brush roll your best best is a canister vac. Problem with those is they don't have a lot of power and generally can't hold much. If your current vac has attachments use those. If you really never use the brush roll remove the belt. You could actually remove both and still run it like a regular vacuum.
If you want new I would go with a shark. They work well and don't cost a fortune.
It has a brushroller BUT it pops out from the top of the head in a very accessible way. You still have to cut the dog hair off with scissors, but it’s quick and easy and doesn’t require sitting on the floor with it in your lap and getting filthy to get the job done.