I can recommend &Beyond and Londolozi as well.
Londolozi is adjacent to Singita in Sabi Sands and the two lodges are friendly in that they allow each other's vehicles on their properties (not the case between Mala Mala and Londolozi, for example). There are a number of sub-lodges in Londolozi with different price points but amazing service all around (been there twice). The property is family-owned with an interesting history. Amazing wildlife viewings; Londolozi is known for its Leopards.