u/GuyNext

I am planning to visit with family in mid June. Is 3-4 days enough for covering the Yellowstone prime attentions with horseback ride plan?

So far from BZN airport I am planning the following:
Norris geyser, Mammoth hot springs,
Old faithful, Lamar valley

Which other places are worth? Where to do horseback riding during daytime? Where to stay?

Thanks in advance.