As far as SIF or k values goes, most of the ones you see in the B31 codebooks came from experimental work done by Markl and his compadres. You would have to review their material to see how they got those values and to make a judgment as to whether you could apply them in this case.
Another thought - B31.3 only gives you 30% (I think) of the fatigue strength for a SO flange vs a WN. This is because a SO flange is welded using a fillet weld and not a full pen groove weld ("buttweld"). Also, there is less NDE available for this type of joint vs a buttweld, so you can't verify the integrity of the joint, and correspondingly the codebook kicks you in the butt for using a SO flange. If you have any loads transferred to this joint in the form of reactive moments or forces due to pipe supports, equipment nozzles, seismic loads, wind, etc., I would be VERY careful when using this setup. Make sure you have identified all your load cases and anticipated operating scenarios, e.g. startup, hydrotest, seismic event, steam-out, operator standing on the pipe, etc. Any one of those may overload this connection. If I were doing this myself, when setting the allowable for this connection, I would probably derate the allowable by a goodly factor relative to the allowable stress for a standard WN to BW elbow.
Most of the owners of chemical plants/refineries/oil fields that I've worked with will not allow the use of SO flanges, period, in any service, even one such as this, without a rigorous analysis showing that the use of a SO in any proposed application is OK, and that usually means an FEA.
So in this case, you have a SO flange welded directly on a LR elbow. During fit-up, due to the curvature of the ell you will have a larger gaposis between the SO flange and the ell on the ID of the ell vs the OD of the bend, this being caused by the need to square the bevel on the ell with the groove on the bore of the SO flange, i.e. align the CLs of the two fittings. They have to be squared (1) so the CL doesn't get screwed up and (2) so the end of the ell doesn't interfere with the gasket on the companion flange. This means more weld metal has to be deposited by the welder on the OD side than on the ID side, which provides more opportunity for weld defects since the welder is filling a larger gap on the OD. The additional weld metal may also distort the elbow but I don't think that will add up to be a problem in this case. It might look funky though.
You might talk to an experienced welder/pipefitter to get his/her opinion on this.
Lastly, you can buy LR ells with straight tangents on them and that will get you out of this problem. Or you can have them formed (bent) from straight pipe.
Thanks!
Pete