Did Namecheap mention SURBL directly, or did they ask you to contact Radix, which then sent you further you towards SURBL?
Sounds like Namecheap (or, more likely, the actual domain registry, which would be Radix here) suspended your domain due to a listing in SURBL.
The key to the reason would correctly then be to ask SURBL for further advice.
Yes, since the domain was suspended by the registrar and/or registry, the only thing you can do is to go through the channels from where you obtained the domain name from, to figure out further information about why the domain was being suspended in the first place.
I take this part, and your mention of “abuse” that way, as that you are implying you were listed on SURBL’s list called “abuse”?
Your domain name is very recently registered, very young, … however you name it.
It is very common for spammers (and other nasty) organisations to register new domains, and flood away with their garbage (e.g. spam) from them.
For the same reason, there are a couple of reputation lists out there that has specific listings for newly observed domain names, as it is very likely these may be used as throw away domains for nasty purposes.
But in the end, if it was a SURBL “abuse” (or other type) listing caused this, your best bet for further information about what was behind the decision for that listing, would be to contact SURBL.
… I also suggest you to come back here with your final findings about that part, for future readers in the same situation be able to find, too.
What actual part of it, are you thinking about, when you ask whether it can be done automatic or not?