How many people/cars are you needing cover for? We've been with the AA for donkey's years and despite them hiking up the price at renewal, I can usually talk them back down again just by pointing out that a newly joining non-member can get a better rate. I've had several recoveries over the years with the Coupe
and never a complaint.
I don't bother with home cover (I can usually fix stuff myself, or if not, I can always push the car a quarter of a mile down the road) just roadside and recovery, but that's for me, the wife and our 19-yo son, for around £160 IIRC. So that's "personal" cover rather than "car" cover.
AA mostly use vans with built in tow dolly things, but their "Relay" service still means a "relay" effort over a long distance, and the changeover points are not warm AA depots but typically a motorway services car park or equivalent.