There is Barton Hill Depot, where XC have some work done. I would have thought they would want it to go there or St. Phillips Marsh (GWR) asap. However its not easy as its facing the wrong way to be driven so will need hauling back to Bristol!
As it's a HST, St Phillips Marsh would be more than likely (better late than never, should have found one in May**) - I Don't think Barton Hill has done any work on any of the XC HST Fleet, rather it's used for Voyager servicing.
I believe (not 100% certain) it used the buckeye.
In response to your earlier question, GWR fitters went from St Philips Marsh depot to make all the parts movement-worthy (one travelled on the lone power car).
Buckeye would be more likely, the HST Mk3s are fixed Buckeyes so would have no-where for a hook to be coupled to.
As for the power car - If the 08 Cant be sent to retrieve it tonight, then one of GWs HST Power Cars going up solo may be an option, or as there's a Freightliner Depot up at Stoke Gifford, a tow down to St Phills would be another option.
In response to an earlier comment about the end doors in the Mk3, this is how the GW HSTs operate - I believe the GC and XC ones are the same?
https://www.flickr.com/photos/37190...LSc-n54sBn-n54g3T-n565ud-FSuX6C-FSuTnq-nkVo83
**Tongue in cheek comment.