Landing midnight at AMM on TK from IST. Turns out a good friend will be in Doha, so would like to go meet up for a day, then come back to AMM to start our trip through Jordan and Israel. These would be TWO separate tickets.
Questions:

(1) I see a 1:50am flight from AMM-DOH. Landing at midnight, maybe slight delay given it is TK, would that be enough time to transit, or should I book the 8am AMM-DOH flight?

(2) If staying until 8am, probably makes sense to get a room. The airport hotel seems to have a meet/greet+breakfast rate and it looks cheap and clean/safe. Anyone think otherwise?

(3) Visa... Should we do a transit visa, then after we spend a day/night in DOH and come back to AMM get a normal tourist visa? Or can we do some kind of multi-entry tourist visa? I understand there may be a difference between what is allowed and what will be straight forward when dealing with immigration. I'm wondering if having the meet/greet from the hotel might help me get things explained/sorted with immigration? I have plenty of time so could get a visa through the embassy in the USA if that helps.

So, to sum up:

• Land midnight AMM on TK
• Depart for DOH at 1:50am or 8am on RJ
• Spend the day and overnight in DOH
• Fly back to AMM noon on RJ and then dive into tourist time
• Advice welcomed/needed

Thanks. Rami Tamimi, any chance you're seeing this? You seem like the expert on all things AMM.