The TP-Link TD-W9970 N300 for about £35,
or the TP-Link AC1600 Wireless Dual Band Gigabit VDSL/ADSL Modem Router for Phone Line Connections (BT Infinity, TalkTalk, EE and PlusNet Fibre) 2 USB, 2.0 Ports, UK Plug (Archer VR600) at about £90
Both have external wireless aerials for better coverage.
There are other makes as well, just look for VDSL modem/routers..
Having very similar issues with HH6 not wanting to allow internet access to anything other than the PC to which it is attached. It's only communicating with my laptop because they are currently side by side; even when the Wifi appears to be connected it isn't giving internet access. It's a complete pain in the backside. I don't use an Android device any more, I have Apple mobile devices as do most of the family - but these don't work with it either a good proportion of the time. Times like this I'm grateful for a huge data package on my mobile contract as I just end up routing everything through my phone in desperation. Come along BT, sort this out!