Something doesn't add up here. What kind of router doesn't speak BGP? :)
I'm pretty sure there are plenty of routers that don't speak BGP.
Can you make the database change to configure 44.24.221.1 as the gateway for 44.24.240.0/20?
Why don't you just use another ipv4 address as the tunnel endpoint ? You can even use the /30 you are using to BGP with your upstream isp since those will surely be in a different subnet.
73s Robbie