@Matt B.
Welcome to BP!
I'm no expert, and don't have nearly the experience some of these other guys have, but I have purchased out of state properties (without ever having stepped foot in the city) and am currently closing on a duplex that meets the 2% rule.
So the out of state properties first. I have bought two SFRs in Euclid (Cleveland market) from a turnkey provider. I am active duty military and was living in Europe when I started my RE investing search. I didn't want to wait three years until I returned to the US. So I started calling turnkey companies until I found one that I trusted. It took some faith, and I've talked to a number of providers that I don't trust and were pointing me towards lower class properties then they would admit, but it has worked out great. These turnkey properties didn't meet the 2% rule, but so much of the work was done for me that I didn't mind paying a little more for a property that was already rehabbed, with tenants and property management in place. I think it was a great way for me to get started and I learned a lot in the process. These properties were both in the $60k to $70k range and rent from $850 to $950. So not quite 2%, but around 1.4%. Definitely positive cashflow that I've been happy with.
The duplex I'm buying right now is in Indianapolis. It was listed on the MLS at $75k with rents of $600 per side. Some research in the area showed that updated 2 bedroom, 1 bath units around 1200 sq ft in this neighborhood should rent in the $650 side. So my agent went and checked it out and inside was a mess. Mosly all cosmetic, but one side does have a 1960s kitchen, while the other kitchen is new. Walls have holes and poorly done plaster repairs, doors are missing door knobs, lights are missing fixtures, and some faucets are missing knobs. Lost of little things that just look bad altogether. I was told the seller was motivated when my agent did the walk through so after seeing that it needed some work I offered $65k. They accepted! Rented at $650 per side (once I do some rehab) this will meet the 2% rule. The home inspection uncovered some other issues so know I'm even asking for a reduction down to $60k. My local property manager will oversee any necessary rehab and in the mean time, the property is fully functional (just beat up) and has tenants in place. So I don't have to do all the rehab at once.
I've never been to Cleveland or Indianapolis. I don't know when I will visit either city. But I work with people I trust and get my own home inspector and contractor quotes for repairs to try to maintain some independence. There are companies that specifically work with out of state investors to help them invest where the returns are strong. I found one I trust and it has worked great for me.
Sorry the post got so long, but hopefully it helped!
Jacob