Though late to this thread, just my general impressions.
First I think that the 838 is quite over the top, Might be fine for 60's to today's squads, but I feel it was John Hill's attempt at the big bad, SMG toting, grenades in the belt, knife in the boot German bogeyman. It should have been cut down like the US para squad was (847 to 747) when ASL came around.
Second, the SS in theory and at best had the same TO&E as their Heer counterparts.
I will first deal with the ideal '44-'45 SS squad.
Sturm Platoon: For comparison a 10 man Soviet SMG squad, armed only with SMG gets a 628, so a 6-3-8 would be the best fit, maybe a 6-4-8 if armed with the StG 44 rather than the MP-38/40. The standard Panzergrenadier 'rifle' squad, which had 2 LMG and some mix of rifles and SMG should get something like a 5-6-8, though as the SS at that stage often got a better ration of toys (MP-40/StG 44), a 6-6-8 might be possible. Rather than having to have yet another (groan!) clatter of SS counters, I am quite happy to 'smear out the average' with the (effective, AF in '44+) 6-5-8 for '44-'45. So I do not have much of a problem with the existing 6-5-8 squad. AE should be 6-5-8 AE (with handbags or by side note).
For earlier periods.
For '39 to '41, use the 4-6-8 (5-4-8 AE). For all in '39-'40 and for many non-premier SS units afterwards, use the Hungarian LMG/MMG/HMG (I would change B11 to B12 for the non complete riff-raff) as they got large amounts of Czech weapons or even worse at times. Even in '41 when the likes of Das Reich got MG-34, as a motorised infantry division they only had 1 LMG per squad while the squads in 10th Panzer (whom they often fought beside) had 2 per squad.
Starting in '42 the premier divisions (Pz & PzGren) got a 2nd LMG which became standard by '43. So in '42 use the 5-4-8 (6-5-8 as AE) and in '43 the 6-5-8 (no AF for either). The other division get the 4-6-8 as their standard. From mid '44 more German divisions of all sorts got the 2nd squad LMG so sprinkle in 5-4-8 to taste.
That was the ideal. In '39 and possibly '40 allow ERL reduction. Until '41 the SS, though noted for their fanaticism, were often regarded as below par in tactical sense and suffered higher casualties than necessary, at least in the view of their Heer compatriots. The possible exception would be 3rd SS whose commander took an unusual interest in teaching tactical skills (at least by SS standards). From August '44 onwards ERL reduction should be standard for all (almost?) SS as the combination of losses of experienced personnel, reduced training and the influx of drafted Naval, LW and ethnic German (even Italian, Hungarian, Ukrainian, etc) conscripts drastically reduced resilience and overall quality.
Though 'morale' was always very mixed from the average and in some cases quite bad, I would be inclined to leave all with the +1 broken morale, as simply being an SS member made it a really bad idea to stay a quivering puddle when there were enemy troops around.
Leadership. Until '41 (or '42) they should have fewer -2 or -3 leaders than normal. After that, low level leadership does not seem to have been significantly worse than other German units. Even the likes of Sepp Dietrich, who was commonly regarded as being at his limit at a regimental or divisional command level, would have had very positive effects at squad level. 2nd rate units should not be penalised too much as they often had fair numbers of Germans in command, but 3rd rate units would a different matter. I would be wary of using the 'Allied' rule, as treating commands as debating points or suggestions, which might happen between real allied national units, would usually tend to be fatal in the SS.
So far I have dealt with the ideal and general view.
I would fairly much agree with Psycho's OAF repost. I might upgrade 7th SS a notch. 6th SS were almost useless in '41 but steadily improved until they were brought into action in Nordwind (companion to Wacht am Rhein) where they were effectively on par with the likes of 1st and 2nd SS. For all except the premier stick to 4-6-8 with increasing percentage (25%-80%) of 4-4-7 as you go down the list with some 5-4-8 sprinkled in in '44+ with maybe a few 6-5-8 AE (5-4-8 AE before '44).
As ASL is, with regard to infantry, an impressionistic game and only the relative combat values have any historical validity, I would not worry too much about fixed squad type quotas within any one particular band (the Good, the Bad and the Ugly). 468/548/658 (depending upon period) for the Good, 2/3 468 & 1/3 447 for the Bad and 1/5 468 & 4/5 447 for the Ugly with a few sprinkles of 548/658 as noted above would be my suggestion. Allow ERL reduction to fine tune the mix as noted above for the Good and Bad and at any time period for the Ugly.