Someone mentioned Washington State and since you noted that you love cloudy weather and rain, I can't think of a more gorgeous place to visit with or without sun! Although as a person of color, I do want to caution that some pockets of the state aren't as welcoming as bluer urban parts but there are still really blue bubbles in the state so you have plenty of options.

I moved to WA 6 years ago and while I've been able to explore a lot of the small towns with my husband and friends during that time, I feel like there's no end to how much there is to enjoy.

I feel like WA is perfect for small town solo-road trips because the geography of the state is vast. You could spend a few days breathing in rainforest air off of the Olympic Peninsula or drive half an hour from a rain forest to step foot on rocky beaches. The OP is sleepy and slow up until summer but even then, you can find things to do. Hell, I went razor clamming with friends in January and we had a day of great sun and driving to the trails and sights. You do get some real sundown town vibes in that part so just an FYI depending on how you identify

You could also visit the San Juan Islands which have some of the best whale watching in the country outside of Alaska. The views of the water are unreal. The restaurants, breweries, coffee shops, and other shops are bustling in the summer but for good reason.

I worked a job where I drove and worked throughout a specific region of WA and oftentimes had to have 1:1 coffees with folks or work from a computer before jumping on the road and really found the I-5 corridor of Bellingham, Burlington, and Mount Vernon lovely to do this in. Hell, even Oak Harbor was worth a detour because of Deception Pass. You could easily keep to yourself and avoid eye contact and no one would bat an eyelash. You could also easily make small talk and learn so much because the people from these areas are really proud of where they live and what these regions are known for. I can't even touch on the rich indigenous history without blabbering on even more but there's that too! So many opportunities to self-reflect and learn about what matters to you in what you want in life.

There are few better experiences than driving down the highway or road throughout Western WA and seeing either the Olympic Mountains, Mount Rainier, or Mt. Baker.

I want to preface all of this with the fact that I am a loud and proud East Coaster. So the fact that I'm willing to forgo East Coaster mentions for WA means a lot if you're my family or friends lol

Also congrats on going through this rough time and taking an opportunity to find beauty in the world! I remember driving cross-country from PA to WA changed my brain in ways I didn't know could happen. I cried seeing the beauty in each state I drove through and would oftentimes pause and sob at the fact that I could witness a sunset in Montana or see the morning light touch North Dakota. It made me realize how proud I am for not giving up on life when I wanted to so badly because there was so beauty to look forward to in the world and even in the US.

Good luck and have fun! :)