I would pick BD
But fly LH (or AC/US/CO) to USA. LHR connections aren't so good, and BD handling isn't good at TLV yet. If you are a company, look to join ppb also - great for upgrades TLV-FRA and vv
BTW, I think you would make LH SEN quite easily. Remember you get at least 2 x miles on LH C class. After 35K miles (FTL) you get 25% bonus on LH/LX/OS, and, I assume, BD soon). You only need 100K once per 2 years to keep SEN. Plus those 2000/2500 on intra-EU flights rack up pretty quickly.