Two night hike from Bushmans Neck

Hey guys

My boyfriend and I are wanting to do a two night hike in the berg in April. It will be his first multiday hike.  We want to either stay in a cave or camp. 
Is it possible to do both Tarn Cave and Lammergeier in one hike? Or is there another option?
If there are other options we can consider in the central berg let me know.  We will be hiking alone so safety is a factor we need to consider.  All the multiday hikes I've done are with a group.  

Looking forward to getting some awesome advice. 

Hello, je suis un français qui vient randonnée dans votre merveilleux pays actuellement sur Champagne castle, je descend progressivement vers bushmans neck, et je veux bien la trace gpx dont vous parlez,s il vous plaît. 
je vous souhaite une bonne journée, et vous remercie par avance

Mod note: "Hello, I'm a French hiker visiting your beautiful country. I'm currently at Champagne Castle and heading down progressively towards Bushman's Nek. I would greatly appreciate the GPX track you mentioned, if possible. Thank you very much in advance and have a wonderful day!"

Thank you for the advice. Fitness is average. 
Please can you send me the GPS track for this hike. 
 

Thank you. 
Another option I was considering was doing Bannermans Cave or sleeping next to Bannermans Hut and then spending a night on top of Langlalibele and coming down the next morning. This does seem like a one nighter though instead of two. Is this a good idea for two people to do or is the other option safer?
 

We've booked the caves and super excited for the hike. 
What is the water situation like from Tarn to Thomatu?
I know it's not great before Tarn and we need to have enough for the night and the next morning.