Apply from your local Thai embassy (on line) for Non-Imm O visa (I agree, retirement is less paperwork than spouse, but requires a higher deposit in the bank). When you arrive in Thailand, that visa gives you 90 days. Visit the Immigration Office where you will be living and pick up their handout on Residency certificate (needed to open a bank account) and 12 month visa extention. Open bank account with deposit of 400k or 800k, depending on which type you choose. 60 days later lodge your application for the visa extension.
If you do need an agent for any reason, I don't know what's available in Rayong but you could try a Facebook group there. Many options in Pattaya but, if you decide to use one, insist they process your application in Rayong - much easier for you to do it yourself when renewal is due
so you were going to leave Monday knowing that was a 3 day overstay, am I right? Now on Saturday you decided you want to stay longer. Go to Immigration Monday. Pay 3x 500 baht for the overstay and 1x 1,900 baht for the 30 day extension. Take it in cash
There is one risk. Your entry is always the judgement of the Immigraion Officer at the desk in front of you. If you make too many entries over an extended period of time, they may consider you are not really a tourist. There are no hard and fast rules about this and that IO has the last word on the matter. The less you leave and return, the more likely they will see you as a genuine tourist. But your FB appears to show you've been coming and going since early 2024, so be prepared.
Another option is to leave Thailand and apply at a nearby Thai embassy for a multi-entry tourist visa. Very common for people who want to criss-cross SE Asia and beyond. But not all embassies do them, so check that before you choose which one to go to. The potential for refusal still applies, but your willingness to pay for an appropriate Visa reduces the risk.
You can make brief visits to neighbouring countries, all of which are worth spending some time in. Then, with a UK passport, return to Thailand and get a 60 day stamp that you can extend by another 30 days. People have suggested other options for you. It really depends how long you want to stay, why and what your status is.
Arrive with a O visa for 90 days, obtained from the Thai embassy in your country. With that you can open a bank account. Deposit 800,000 for 2 months before applying to extend the visa to a total of 15 months. The problem is with people who don't apply for the O visa at home, so arrive as tourists and are surprised when banks don't see you as long term customers