Asking to WFH for summer internship?

While I understand this may be a weird question, it's mainly due to the unique circumstances that we're all in. Let me provide some context. My internship is in San Francisco, but I live a little less than 2 hours out. Originally, I was supposed to move to SF for the summer in order to be closer to my internship and received some assistance for housing. Of course, due to the current circumstances the people at the company informed me not to find housing in SF (plus it would be very difficult at this point anyway) and that I could work remotely, although I would be asked to come into the office once lockdown restrictions are lifted. I feel very lucky to be in a position where I can do so, so I don't want to seem ungrateful or not hardworking.

We talked last week about the internship and they said that if we were to return to the office, then I could come in a few days a week or commute every other week and WFH the next week. However, I feel that this would be incredibly difficult for me to commute 4+ hours on a given day to get to work, especially since I do not have my own car so I would need to take public transportation. Frankly, this would be extremely tiring for me but I also want to keep this opportunity. I also cannot move to SF as I have no idea if/when restrictions will be lifted so we may be remote for the rest of the summer anyway, in which case I would have no reason to move. I live with older parents who have immune conditions, so of course I would not want to expose them as they are going to be staying inside for the foreseeable future. I want to express to my internship that I would prefer to WFH exclusively, but I'm not sure if this is a reasonable ask or if I would come off as ungrateful. Is there a way in which I could ask them to allow me to work remotely entirely this summer?

Note: repost for COVID-19 flair

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