for doorman/elevator buildings you can look at grove point, 50/70 columbus, mandalay/portofino (condo, but owners rent it out), newport (not near grove st, but i assume newport station is ok too), avalon cove (also newport station). these are some of the slightly older high rises, though their 1.5-2br prices are starting to be 4.5-5k i'm hearing, but you might catch a lower floor one in your price range