After the Bloom

[mothinuk]

So my new phal has dropped all of its flowers after having it for about 3 months. I am happy with it so far, and feel like I am doing things correctly. I have read some places to let the stalks dry up by themselves and then some places to cut them back to the level of the leaves. One of the stalks is starting to die. The leaves look healthy and happy. Should I go ahead and cut the stalks back? Is there anything I should do to the plant in the meantime? I just bought a new potter which has a frog at the bottom, so I can keep the humidity high. Thank you so much for the help!

PS some of the roots have looked a bit soggy for the last few weeks, but have not gotten worse.