Currently planning an intinerary with an overnight (evening to early afternoon) layover in ICN through T1 in March. The terminal hotel at T1 appears to be closed then. I can't find information on the T1 capsule but their booking portal also shows March onwards blocked out.

Are there any recommendations for (budget-ish) areas to stay? I've been to the Best Western on a STPC but there was nothing much else in terms of restaurants and shops in that area.