In order to fit your project into a historical context I would look for regiments that took part in as many battles as possible. You can then play scenarios in the form of skirmishes that were part of that battle. Wikipedia provide a list of all battles:
https://en.wikipedia.org/wiki/Category:Battles_of_the_Finnish_WarPerry currently only have miniatures in uniform for the summer season so you can exclude any battle during November-March. To make a long story short, I would go for any of the regiments that participated in the battle of Oravais. There you will find both Swedish and Finnish regiments including Jägers:

Swedish Army5 500 man
Fältmarskalk Wilhelm Mauritz Klingspor (befälhavare över de svenska styrkorna i Finland, men lämnade över befälet till general Carl Johan Adlercreutz vid Oravais).
Infantry
Upplands regemente (2 bataljoner)
Västmanlands regemente (1 bataljon)
Hälsinge regemente (3 bataljoner)
Västerbottens regemente (1 bataljon)
Uppland, Hälsinge och Västmanland jägare (6 kompanier)
Österbottens regemente (1 bataljon)
Savolax infanteriregemente (4:e brigaden) (2 bataljoner)
Savolax jägarregemente (4:e brigaden) (2 bataljoner)
Karelska jägarkåren (4:e brigaden)
Cavalry
Livgardet till häst (2 skvadroner)
Karelska dragonkåren (1 skvadron)
Artillery
Svea artilleriregemente (6 sexpundskanoner)
1 fyrapundshaubits
Russian army6 000–7 000 man
General Nikolaj Kamenskij (rysk befälhavare över huvudarmén)
Advance guard under J. P. Kulnev
Sevsk muskötregemente (2 bataljoner)
3:e Jägarregementet (2 bataljoner)
Grodnos husarregemente (2 skvadroner)
Donkosacker (100 man)
Forces under N. I. Demidov
Petrovsks muskötregemente (2 bataljoner)
Perms muskötregemente (2 bataljoner)
Reserves under Usjakov
Mogilovs muskötregemente (2 bataljoner)
Litaueiska muskötregementet (2 bataljoner)
25:e Jägarregementet (1 bataljon)
Grodnos husarregemente (1? skvadron)
Polska lansiärregementet (1 skvadron)
Artillery
Överste Arguns artillerikompani (från 17:e artilleribrigaden)
Överstelöjtnant Ziminskys artillerikompani (från 21:a artilleribrigaden)
From the Perry ranges I would go for the Savolax Jägers and some Line infantry. You can paint the latter in the colours of any of the Swedish/Finnish Line regiments participating. You should also convert an officer figure to represent Georg Carl von Döbeln, the most iconic Swedish commander:

