Not to be a Debbie Downer, but I don’t think your budget is realistic.
Check out @IAC for their TX Honda deals. That’s about the only route I can think of that may get you in the ballpark of your budget. They have been advertising some good Honda deals.
Also, don’t wait until after the first of the year. January historically is the worst time to lease. November and December are “typically” your best months to lease.