Looking at your course, I understand your textbook was Mounce? I found Dan Wallace’s Greek Grammar: Beyond the Basics helpful as I grappled with exegetical issues. I also use David Alan Black’s It’s Still Greek To Me to remind me of the things I have forgotten, and I keep Zerwick’s grammar and analysis volumes close to my desk for exegesis (but there are probably better resources available now). Buy BDAG if you don’t have a copy already.
But yeah, as you say, keep reading. When my pastor is preaching from the NT I bring a Latin/Greek NT to church and read along, using the Latin to help with the Greek words I don’t know.
There is a Greek New Testament Study Bible coming out soon that looks interesting - one page is a Reader’s GNT matching the NIV2011, while the opposing page is notes on aspect, voice, syntax, variants, etc. You can view a preview PDF of it on Zondervan Academic’s website.