So after a few postdocs in applied math (PhD in pure math), I'm currently outside academia with a part time teaching position in France. I'm in the process of applying to a lab in the South of France for a permanent faculty (Maitre des Conférences) position and I contacted the head of research and upon my request, was invited to a give a talk. Now in the form that I was asked to fill up online, there were two options: i) an online talk and ii) a talk in the presence of the team (and in this case, the form explicitly asked if I wanted that the lab took charge of the mission, which I'd assume financially: travel, lodging, food...) Initially I chose the online one, because I thought it'd be strange to visit at the lab's expense if I'd give the talk offline. However, upon I initially submitted the form with ticking/checking the online talk option, I sent a brief email to the the head of the lab stating that if she preferred, I could travel to them and give a talk, to which she replied that both options (online and offline) were okay with her. I didn't reply to that yet.
So now I'm thinking if I could change it to the offline/physical talk and travel to the South of France, because this would give me more opportunity to see what other people in the lab were doing as well, which might not be possible in just an online talk. But what's bothering me is that if I tick the box that I want the lab to take charge of the mission financially. Will it look strange if I ask for financial support (since I'm the one requesting to give a talk purely for the fact that I'd like to apply to the lab and hence network, isn't it strange if I say I need financial support to travel there?). I'd be grateful if you could please let me know what I should do - I'd like to pay for my own visit, given my financial budget.