Hi Mrs Bouquet
Sounds OK
I can’t comment really on variety I just use whatever is to hand. ( generally from my collection of seeds picked up at the end of the season)
One thought you might want to consider climbing French beans and a wigwam in the tub. Good idea to ensure you have prepared the tub well with rotted manure/chicken manure pellets/fertiliser whatever you have to hand plus good compost.
Cheers HH