The problem with using an agent to provide the funds is that you will never meet the terms of the Non-O visa requirements which can have knock on effects, best to put the money in the bank. If you really want to avoid that then get the Non-OA visa but that does require insurance, police check etc
Given your ages moving to Thailand isn't straightforward. One of you could get a guardian visa based on a kid going to school, the other would need to find another way to stay. Starting up a business is a possibility but if you plan to work in that business it will need a 2 million baht capitalisation and to employ 4 full-time Thai employees to get 1 work permit, and you'll need a Thai partner as you can only own 49% of the business
If you are over 50 you might find it easier to use a retirement visa which you can get before you travel to Thailand. No worries about return flights, much easier to open a bank account etc. Just requires a bit more in liquid finance
I'd suggest you have a better chance of not requiring a return flight if you come with a tourist visa rather than visa exempt but check with your airline. As to getting married you have some hoops to jump through such as getting a "freedom to marry" certificate from your embassy in Thailand which can take time and I believe some immigration offices require you to have been married for at least 2 months before they will allow you to apply for a Non-O visa based on marriage
I don't give my passport to hotels. I use my driving licence. It has my passport number on it but not my nationality. Maybe that's where the mixup came from?