A block north of the square is Hotel Brisas del Copán (tel. 504/651-4118, US$21 s, US$37 d), with quiet, clean rooms with hot water, fans, and TV. The owners live in the adjacent building, which is separated from the hotel by a small patio with chairs open to guests, and there is another terrace for guests as well—the view is somewhat marred by the electrical wires and neighboring unkempt terraces.
The same family also runs the Acropolis Maya (tel. 504/651-4634, US$47 d) across the street, a tasteful higher-end hotel with 10 larger rooms with dark wood furnishings and air-conditioning.
Hotel Yaragua (tel. 504/651-4464, www.yaragua.com [1], US$37 d, US$45 d), on the southeast corner of the square across from the Plaza Copán, has 24 attractive rooms with air-conditioning and TV around a small leafy courtyard. The upstairs rooms are nicer. Check the mattress, as some are mushy.
Around the corner is Hotel Popol-Nah (tel. 504/651-4645, US$29 s/d, US$52 s/d with a/c), with a nice colonial-style facade but pretty basic rooms—if you are going to spring for air-conditioning, there are better options.
Lauro’s Hotel (tel. 504/651-4068, www.lauroshotel.com [2], US$23 s, US$29 d, US$16–17 more with a/c) is a comparable quality choice, also close to the park. Ask for a room on the second floor, as those on the ground floor are fairly dark.
Links:
[1] http://www.yaragua.com
[2] http://www.lauroshotel.com