So I  theorycrafted an Alchemist Archer here. 

I'd like to hear your feedback, suggestions, violent reactions and all that. The build is supposed to serve as a versatile support caster mostly in a combat heavy campaign. 

I'm still trying to decide if I should dip more into bard or multiclass into sorcerer for metamagic which should allow a bit more flexibility between spell casting and attacking. Flaming Arrows may be a potential staple if I can get to cast is as a bonus action with quickened spells...

Here is a variant of that Bard/Alchemist/Sorcerer

I would drop one of the ASI points on Dexterity and move it to Charisma. No point making them both odd when you can make them both even. Other that I don't have much to add.

  I like it. Don't for get you can use magic tinkering to make your self magic trick arrow. (light arrow, noise arrow, stink arrow, message arrow) 

How did you get an animated character portrait!?

Quote from Ophidimancer >>

How did you get an animated character portrait!?

Usually they're a bonus for pre-ordering books.