The allotment is a 5 min walk but wouldn't want to go if it was raining just for radish and spring onions.
Strawberries and salad are looking like good choices for beds 1 and 2. The salad bed could double up as a nursery bed for biennials to over winter, I sow those in pots and plant out when a veg bed is cleared.
Asparagus sounds a good chioce for the third bed. My brother is growing asparagus for the first time this year, we could swap notes. It's ever so expensive in the shops, I weighed a small bunch in Booths and if I got it right costs about £2. How difficult is it to grow?
Not so sure about globe artichokes, don't think I've ever eaten one, come to think about it I don't think they appear in the shops often or is that because I'm not looking for them . Are they grown from a tuber and the plant grows quite tall?