Do not go. This is one of the most certain ways to get arrested outside of walking into a police station.
Every visitor to a correctional facility goes through an identity check before they are admitted. That is not optional and it is not cursory. Staff run every visitor's identification through the NCIC, the National Crime Information Center, which is a comprehensive federal database containing criminal records, felonies, outstanding warrants, and records of confinement from jurisdictions across the entire country. There is no way around this check and no way to pass through it with an active warrant without being flagged.
If your name and identification match an active warrant in that database, you will be detained on the spot. The facility will hold you until the jurisdiction that issued the warrant sends someone to take you into custody. The visit does not happen. Instead of seeing your person, you end up in a cell yourself, potentially in a different jurisdiction from where the warrant originated, which complicates your situation further.
The only path to visiting your person safely is resolving the warrant first. An attorney can often arrange a voluntary surrender on terms that are far more manageable than being picked up unexpectedly at a prison visiting room. Many warrants, particularly older or minor ones, can be resolved with a court appearance and a fine. Getting it handled proactively puts you in control of the process rather than having it dictated by circumstances.
In the meantime, stay in contact through letters sent via InmateAid. Your address stays private and there is no identity check required to send mail.