I have a full wrap and a chrome delete, so my needs are much different. However, anything with with high pressure washes or heavy scrub or contact against an edge can peel or rip some wraps. I would talk to whoever did your wrap to see what they recommend. It can vary based on the skill or technique used and with what materials.
To be safe, I would stay away from any power jet or drive through car wash and only get it hand washed. Some drive through places will have hand wash options for a few extra dollars. I found a guy who will come to my house and do a full soft wash and detail for $40. I think that is very reasonable and always give him a little extra because he does a good job. But your location will obviously dictate on what you have available.