Since Host A is in a /8 subnet, it believes that 10.1.3.x is located in its local subnet. Therefore, it does not see a need to send the ping to its default gateway.
Instead, it should ARP, and if RA knows where 10.1.3.1 is, it can Proxy ARP for it.
However, you've said that no routing protocols or static routes are configured on RA, so it doesn't know where 10.1.3.1 is located.
Consequently, if you want RA to respond with a Proxy ARP for 10.1.3.1, then RA will have to learn the route to 10.1.3.1 (or have a default route)
Additionally, in this scenario, Host B will have to know how to get back to 10.1.1.10, as will its router, RB.