Local blackouts are the bane of the cordcutter's existence. As /u/StonedStoolie said, the only realistic option if you don't want to pay for and use a VPN is to give someone else a Slingbox (and that's questionably/probably not legal).
If you want to pay for it so you feel above-board, I'd do that and combine a VPN subscription. I have been using RA4W VPN to watch Rapids games with MLSLive, and it's worked pretty well (I got a lifetime subscription to RA4W for ~$20 so it's totally worth).