Imperious
Without the sun of my life
Well Alicent can either be close by and in a relationship with us or she can have a husband with a castle and lands. Doing both sounds tricksy.
I think the Tyland/Alicent marriage is pretty good, particularly if she starts to learn a few lessons from her very competent husband and father. Not sure if canon Alicent is actually uh...good at anything. It would be pretty cool to make her a Queen of Thorns type. She would continue the tradition Otto started of being a incredibly influential politician even without inheriting anything.
If we marry Laenor, then we'd both be married into two very wealthy houses, together we could be the new power couple that does projects to improve Westeros, like the Kingsroad. The Dream Team!
Also allow us to meet her for, ahem, "Fiduciary planning to maximise profits for a fiscal year~" if ya know what I mean.
If we're that concerned about being able to regularly meet Alicent for "reasons" then landed lords can and do also act as courtiers in the capitol. The current Master of Laws, Lyonel Strong, is lord of Harrenhal, and during the main series Mace Tyrell acts as master of ships while still being lord paramount of the reach.
In such cases what seems to happen is that the landed lord arranges for a steward to manage their demense while they're away in King's Landing.