Good beginner mountains to start out on late May - June?

Hello, I am thinking of doing some hiking/ mountaineering in Europe in late May to early June (3-4~ nights) but don't have much/ any experience with higher mountains and so would like to find a mountain that is more scrambling then snow shoes. I do have experience in hiking and scrambling so I would like to stay with in my comfort zone for now until later in the summer where i might try some more intense mountains with a guide. Due to these restrictions i wouldn't be apposed to an area where i could attempt to summit a peak but if conditions aren't fit for me then I could take another trail and still appreciate the views. I am currently thinking Rysy in Poland although this seems very likely to be too snowy to climb unfortunately, the next location is the Dolomites although I imagine it would be the same story.

If anyone has any recommendations I'm happy to take any into consideration, and if there aren't many available within the parameters then I'd be happy to turn the trip into a multi day hike in a mountain range. Also If anyone has good beginner gear to stat getting that would be great :)

Thanks in advance.