I definitely give a discount to longer term rents who pay on time and haven't bugged me. I'd say $4,000 to $4,200 would be fair compromise.
As predicted, she showed me listings that were between $4400 and $5400. And then SHE asked me to name my range. I said $4000-4200 is our limit for this particular unit. She said she could not go lower than $4200. I let her have that. The Zestimate is currently $4900 for our place. I feel like, at this point, $4200 is still a win for us. Really, REALLY didn't want to have to move this particular summer.