Which model do you recommend?
Newbie to this site as well.
I agree with FG...a gas powered reel mower is more than sufficient to cut 3000sf of lawn.
I have a 20" Tru Cut for my 1600sf bermuda lawn...the greens mowers are fantastic machines but they are designed to cut much lower than .5" and they are indeed overkill for your application...1 to 1.5" will get you that manicured look you are seeking, any lower and you will need to water everyday to keep the grass alive and cut a lot more often.
Note...at least here in GA, most 27" Tru Cut mowers with the GX engine were probably used commercially and the clutch might be on it's last leg so if ask questions if you decide to buy a used 27"....a 25" will make fairly quick work of your yard, but they are harder to find used.
Tru cut vs McClane or Trimmer...I had an old McClane (with a B&S engine) they have the lowest reputation, but with a Honda engine, a little cheap made machine, but they work fine, mu boss has one now...the older Trimmer mowers are built like tanks and I understand the new manufacturer has restore their old manufacturing processes and quailty...both have a similar wheel drive system. If you have long straight runs...these are fairly easy to operate. But, the clutch drive system is a lot easier to operate with the thumb control system if you have short runs, turns, etc. and you can also control the cylinder as well and that's why I went with a Tru Cut.
One last thing...if you want to keep it around 1.5" cutting once a week, I would strongly recommend a low nitro fertilizer...bermuda grows faster, but I cut every 3 days and keep mine at 1" and go up to 1.25" in late July/Aug.
Good luck!