Yeeeeeeaaaah, here it comes!
I am playing versus HE as my regular opponent, so I might be able to give you some tips
Tomb King: The DoE never seems to work against HE, sadly... I would suggest the SoA and Death Mask of Kharnut. That combo will surely kick HE arses (SoA, DMoK and CoS)
The LPs: They are quite good... Be sure to know that they will be nothing compared with a HE magic or anti-magic list.
Bowmen: Very good to have!

I prefer regiments of 24-25, but I use to play 2250 points

The regiment of 11 bowmen will not do anything, a waste of points if you ask me (when facing HE). With that regiment, you just make up an off- finished regiment ---> No threat to the elves... Change the weapons on the skellies to bows, and have only Musician on these is my tip.
The TGs can be really good to use, and when used in big regiments, they are far better

Keep this unit!

But make sure it will enter combat AND watch out for Ellyrian Reavers (vs SSCs) and Dragon Princes!!!
Pm me for questions... I will answer within five days (holiday, yeeey

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Hope It Helps!