The tower seems very expensive, and would only work on one side indoors.

I have always wanted to buy this light fixture:

Hydroplanet T5 4ft 8lamp Fluorescent Ho Bulbs Included for Indoor Horticulture Gardening T5 Grow Lights Fixtures

and use one of the plastic shop shelving to hook to the light and put the planting tray. This should provide enough light for the tomatoes and any greens you would need. Entire set up would be about $200. Just use the black tubs used for mixing brick mortar they sell at Lowes. It would provide a 20 by 48 inch space for planting dwarf tomatoes or greens.

I knew of a elderly couple in Crowell, Texas that grew strawberries outdoors. They said the would last about 4 or 5 years before they would have to start over due to disease. They had a screen over the top to protect against birds.

I am in Louisiana and my strawberries are in their third year in the ground outside in my garden. Mostly the berries get smaller and don't produce as well as the years add up. I also have problems with lettuce when it gets too warm. I was reading the other day about a person using shade cloth and growing lettuce successfully in temperatures up to 100. I am going to give that a try this year. Guess I should get going. Summer is in full swing.

I see that the light you are talking about has a timer with 3, 6 or 12 hour settings. I really like to leave the lights on tomatoes at least 8 hours, so I would probably use the 12 hour setting for them. Probably you can get by with 6 hours of light for the lettuce. This would apply for natural light through the window or for the led light.

I noticed that the tower seems pretty large for an indoor container, but maybe you have the room. I know this is a standby answer from gardeners, but go for it. You have to experiment to find out. You can always start trying the greens without light and add lighting if you find you need it. I think for the dwarf cherry tomato I would just get an individual pot. The tower looks like it would work well for strawberries. But, if you want to try them in the garden get some strawberry plugs this fall and plant them outside. You will be harvesting in the early spring. I just throw a frost protection cover over mine on the few days we get below freezing. Actually this winter I experimented with a short row and didn't even cover it in our record setting 9 degree low temperature. The plants did fine, but it makes me nervous to do this to my whole crop. So, I will continue to cover when temps drop below freezing.