Hey Eric,
Sounds like you are on the right path! I also work in midtown and went down a similar path 2 years ago when I moved out of the Upper West Side to buy a 2 family in Union City NJ to house hack. I am not too familiar with Harrison but I would also recommend looking at neighborhoods like Jersey City, Union City, West New York or even North Bergen. It all depends on what your priorities are (short commute, new house, size, etc). With your budget you can likely still find some decent deals not too far from the Path train in Jersey City with multi-families in decent shape going in the 600-700 range. Union City has a great commute to mid-town (bus directly to Port Authority in 25min or less depending on where you are) but older properties. There are definitely some value add opportunities but the market has been heating up the last two years and the city is notoriously bad to work with if you require permitting or city approval. West New York and North Bergen are slightly cheaper than Union City because they have slightly longer commutes to NYC. Apt rents in Jersey City and Union City can definitely hit or exceed $2,000 depending on the condition and size of the unit.
I hope that is helpful! I am happy to connect more to share my agents, lenders, etc if needed. Good luck!