From the 2025-26 NCAA Manual for host sites. Hotel space would not be an issue. There are plenty of good quality hotels, just in downtown Lincoln.
NCAA Non-Predetermined Preliminary-Round Competition For all NCAA non-predetermined preliminary round competition, unless otherwise stated, the host institution/agency or the NCAA shall make reservations for the participating institutions/student-athlete(s) and advise them of the arrangements. A minimum of 15 double-double rooms and one king room for the head coach should be reserved for each visiting team. The rooms should be held in advance by the tournament manager beginning the night prior to the practice day. The selected hotel properties shall be within no more than 30 miles (30 minutes) of the competition site and be priced at a fair and reasonable market room rate. The selection of a competition site may be dependent on availability and quality of rooms for participating institutions/student-athletes. Each participating institution is obligated to confirm or cancel the accommodations.