TBH, the list of routers which satisfy your criteria is, give or take, “all of them.” That’s perhaps why you’ve not had a lot of responses to your question.
Any respected brand is going to do what you want it to do, be that the two Coyote listed or a large number of others. IIRC, “Billion” were recommended here last time this question popped up. But so long as you avoid the happy shopper products I doubt you’ll go far wrong.
Presumably the BT router isn’t fixable, and you can’t blag them into replacing it? I might be tempted to try the ‘give me a free router or I’ll change ISPs to someone who will’ gambit (or, actually change providers to someone who isn’t BT Wholesale).