Wait a minute, vientiane will ask for a bank statement if you have had this kind of visa from them before/ back to back.They only offer a single entry.
Savannakhet do not ask for proof of funds and also offer a multiple entry visa for 5000 baht.
The embassies outside of thailand or not linked to the immigration databas, so getting a new passport and applying for a visa would be ok. But the problen could be at Thai immigration side as your history will show up.
You cant get a tourist visa in thailand, you can get a visa exempt entry which gives you 30 days then you can go to immigration and extend it for a further 30 days.
You could also go to a neighbouring country like laos and apply for a tourist visa there.
Btw resizing the pictures for the online application is not difficult. As