Auto lock a door after so long is optional feature that needs to be enabled and I think my locks have that feature.
If you are talking about a lock that doesn't have a motorized deadbolt then you don't have many options. The reason most people want motorized deadbolts is so you can lock the door from away from the house or you have have it autolock when you leave.
If someone leaves your rental and didn't lock the deadbolt you would have no way to lock it. I don't even think it knows if the deadbolt is even extended (locked) or retraced (unlocked). So no way to lock it or know if the door is properly locked. Have you ever got out of your car walked into a store and tried to remember if you locked your car or not? Same thing here.
Unlocking a door I can see there is not a huge advantage to having a motorized bolt.
I used Kwikset 910's myself (around 7 total) but there are many locks each with pros and cons. I buy them cheap if I were to buy a new one today and wanted to spend 200 I would have alot of options. There is already threads with the info you need to make a decision.
Another piece of advice I would recommend you start with a VERA at your house (where you live most of the time) until you get a good understanding of it and how it works, what to do and not to do when your 100's of miles away. Trying to learn how to do things, when to do or not to do an update, or troubleshooting from miles away can be difficult or impossible. If it freezes up, looses communication, or anything when your not near it you could be locked out until you pull the plug on it and reboot it.
EDIT: indoor camera...... Foscams are CRAP, but they might last for a year. I started with 6 of them, pan tilt, mic, speaker and all for only 100.00ish. I found out alot and wouldn't touch them with a 10ft pole after the IR's(night vision) started going out one by one, speaker doesn;t work for crap to make a 2 way communication and the cut off filter is loud.
I have moved onto Hikvision's now. Maybe same price or a bit more but without the pan and tilt functions. I would go with Hikvision DS-2CD2432F-IW for indoor. I paid 100.00 on ebay.