As far as I know there isn’t a single SL fake that does NOT also hurt the axis options in defeating Russia.
You could try to slip in 1 or 2 TRS in your GE1 build to make the UK cower in London because of fear (after all, you CAN go wild if the UK doesn’t prepare properly), hopefully limiting the damage to Barbarossa with only so few TRS built.
Similarly, you could fake Barbarossa and launch a nasty surprise attack on London if the UK goes into the mediterranean too strong. Lots of UK players leave London terribly weak after they think to be certain you are going after Russia. Make sure you can buy 10TRS GE2 and turn around your wehrmacht to punish. IT2 can raid the London AB so the UK cannot scramble GE3 (5/6 times, I know…).
An interesting alternative is to buy nothing at all GE1, to leave all options open, thus forcing the UK to protect London. Your barbarossa will be a little less threatening but the UK should be much more cautious because Germany can punish any misstep.
By GE2 however, your plans will (and should) be crystal clear to every1. Germany cannot afford to ‘keep all the options open’ GE2. In case of a SL fake, the UK is free to pursue Italy from then on.
The best you can achieve is that your UK opponents will come to fear your German surprises in the future and protect/cower accordingly thus giving Italy some breathing space.
The downside of all of this, is that the UK can stack London massively from UK1 and still do ‘Taranto’, thwarting all Germany can do about London with a fake, save a dedicated sea lion from the start (which involves the buying of at least a CV as well)…