The surgeon actions are a little too tacticool for my taste. The same reason I would not go with the built in picitinny rail on the BAT. Just don't care for the ascetics.
Hm...integrated rail = no screw heads, no parting line... What ascetics are you referring to (or do you want separate direct-mount rings/bases)? The integration is IMHO a great feature - no screws to loosen, no mounting issues, added rigidity and strength. I recently received a BAT M, single shot, with integrated rail and like it a lot.
Are you interested in the single shot or repeater version?
http://www.brunoshooters.com/category/actions_bat_model_vr.html - 5, all repeaters, all with 0 MOA integrated rail
https://bulletcentral.com/bat-actions/bat-machine-action-model-vr/ - 51, all repeaters, vast majority with 20 MOA integrated rail
BTW, if you are looking for a configuration different from the ones at those sources, going thru them (those two main distributors/resellers) will save you about 50% of the normal lead time going to BAT direct. It did for me.